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Finding the Third Proportional to 42,033 and 63,367.50

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Solution

The third proportional to 42,033 and 63,367.50 is: 95,530.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,033 : 63,367.50 = 63,367.50 : x
  2. Step 2: Convert to fraction form
    42,033/63,367.50 = 63,367.50/x
  3. Step 3: Cross multiply
    42,033x = 63,367.50 × 63,367.50
  4. Step 4: Simplify right side
    42,033x = 4,015,440,056.25
  5. Step 5: Solve for x
    x = 4,015,440,056.25/42,033
  6. Step 6: Final answer
    x = 95,530.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.