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Finding the Third Proportional to 47,432.25 and 105,367.50

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Solution

The third proportional to 47,432.25 and 105,367.50 is: 234,066.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,432.25 : 105,367.50 = 105,367.50 : x
  2. Step 2: Convert to fraction form
    47,432.25/105,367.50 = 105,367.50/x
  3. Step 3: Cross multiply
    47,432.25x = 105,367.50 × 105,367.50
  4. Step 4: Simplify right side
    47,432.25x = 11,102,310,056.25
  5. Step 5: Solve for x
    x = 11,102,310,056.25/47,432.25
  6. Step 6: Final answer
    x = 234,066.70

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.