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Finding the Third Proportional to 7,712 and 16,309

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Solution

The third proportional to 7,712 and 16,309 is: 34,489.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712 : 16,309 = 16,309 : x
  2. Step 2: Convert to fraction form
    7,712/16,309 = 16,309/x
  3. Step 3: Cross multiply
    7,712x = 16,309 × 16,309
  4. Step 4: Simplify right side
    7,712x = 265,983,481
  5. Step 5: Solve for x
    x = 265,983,481/7,712
  6. Step 6: Final answer
    x = 34,489.56

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.