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Finding the Third Proportional to 46,380.50 and 70,000.50

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Solution

The third proportional to 46,380.50 and 70,000.50 is: 105,649.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,380.50 : 70,000.50 = 70,000.50 : x
  2. Step 2: Convert to fraction form
    46,380.50/70,000.50 = 70,000.50/x
  3. Step 3: Cross multiply
    46,380.50x = 70,000.50 × 70,000.50
  4. Step 4: Simplify right side
    46,380.50x = 4,900,070,000.25
  5. Step 5: Solve for x
    x = 4,900,070,000.25/46,380.50
  6. Step 6: Final answer
    x = 105,649.36

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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.