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Finding the Third Proportional to 15,416 and 23,082

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Solution

The third proportional to 15,416 and 23,082 is: 34,560.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,416 : 23,082 = 23,082 : x
  2. Step 2: Convert to fraction form
    15,416/23,082 = 23,082/x
  3. Step 3: Cross multiply
    15,416x = 23,082 × 23,082
  4. Step 4: Simplify right side
    15,416x = 532,778,724
  5. Step 5: Solve for x
    x = 532,778,724/15,416
  6. Step 6: Final answer
    x = 34,560.11

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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.