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Finding the Third Proportional to 19,416 and 41,602

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Solution

The third proportional to 19,416 and 41,602 is: 89,139.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,416 : 41,602 = 41,602 : x
  2. Step 2: Convert to fraction form
    19,416/41,602 = 41,602/x
  3. Step 3: Cross multiply
    19,416x = 41,602 × 41,602
  4. Step 4: Simplify right side
    19,416x = 1,730,726,404
  5. Step 5: Solve for x
    x = 1,730,726,404/19,416
  6. Step 6: Final answer
    x = 89,139.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.