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Finding the Third Proportional to 9,712 and 14,531

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Solution

The third proportional to 9,712 and 14,531 is: 21,741.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712 : 14,531 = 14,531 : x
  2. Step 2: Convert to fraction form
    9,712/14,531 = 14,531/x
  3. Step 3: Cross multiply
    9,712x = 14,531 × 14,531
  4. Step 4: Simplify right side
    9,712x = 211,149,961
  5. Step 5: Solve for x
    x = 211,149,961/9,712
  6. Step 6: Final answer
    x = 21,741.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.