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Finding the Third Proportional to 9,712 and 16,040

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Solution

The third proportional to 9,712 and 16,040 is: 26,491.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712 : 16,040 = 16,040 : x
  2. Step 2: Convert to fraction form
    9,712/16,040 = 16,040/x
  3. Step 3: Cross multiply
    9,712x = 16,040 × 16,040
  4. Step 4: Simplify right side
    9,712x = 257,281,600
  5. Step 5: Solve for x
    x = 257,281,600/9,712
  6. Step 6: Final answer
    x = 26,491.10

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.