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Finding the Third Proportional to 40,570 and 62,319

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Solution

The third proportional to 40,570 and 62,319 is: 95,727.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,570 : 62,319 = 62,319 : x
  2. Step 2: Convert to fraction form
    40,570/62,319 = 62,319/x
  3. Step 3: Cross multiply
    40,570x = 62,319 × 62,319
  4. Step 4: Simplify right side
    40,570x = 3,883,657,761
  5. Step 5: Solve for x
    x = 3,883,657,761/40,570
  6. Step 6: Final answer
    x = 95,727.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.