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Finding the Third Proportional to 14,762 and 31,495

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Solution

The third proportional to 14,762 and 31,495 is: 67,195.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,762 : 31,495 = 31,495 : x
  2. Step 2: Convert to fraction form
    14,762/31,495 = 31,495/x
  3. Step 3: Cross multiply
    14,762x = 31,495 × 31,495
  4. Step 4: Simplify right side
    14,762x = 991,935,025
  5. Step 5: Solve for x
    x = 991,935,025/14,762
  6. Step 6: Final answer
    x = 67,195.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.