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Finding the Third Proportional to 13,282 and 31,309

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Solution

The third proportional to 13,282 and 31,309 is: 73,803.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,282 : 31,309 = 31,309 : x
  2. Step 2: Convert to fraction form
    13,282/31,309 = 31,309/x
  3. Step 3: Cross multiply
    13,282x = 31,309 × 31,309
  4. Step 4: Simplify right side
    13,282x = 980,253,481
  5. Step 5: Solve for x
    x = 980,253,481/13,282
  6. Step 6: Final answer
    x = 73,803.15

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.