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Finding the Third Proportional to 32,098 and 49,403

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Solution

The third proportional to 32,098 and 49,403 is: 76,037.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,098 : 49,403 = 49,403 : x
  2. Step 2: Convert to fraction form
    32,098/49,403 = 49,403/x
  3. Step 3: Cross multiply
    32,098x = 49,403 × 49,403
  4. Step 4: Simplify right side
    32,098x = 2,440,656,409
  5. Step 5: Solve for x
    x = 2,440,656,409/32,098
  6. Step 6: Final answer
    x = 76,037.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.