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Finding the Third Proportional to 29,854 and 40,570

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Solution

The third proportional to 29,854 and 40,570 is: 55,132.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,854 : 40,570 = 40,570 : x
  2. Step 2: Convert to fraction form
    29,854/40,570 = 40,570/x
  3. Step 3: Cross multiply
    29,854x = 40,570 × 40,570
  4. Step 4: Simplify right side
    29,854x = 1,645,924,900
  5. Step 5: Solve for x
    x = 1,645,924,900/29,854
  6. Step 6: Final answer
    x = 55,132.47

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.