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Finding the Third Proportional to 32,498 and 49,103

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Solution

The third proportional to 32,498 and 49,103 is: 74,192.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,498 : 49,103 = 49,103 : x
  2. Step 2: Convert to fraction form
    32,498/49,103 = 49,103/x
  3. Step 3: Cross multiply
    32,498x = 49,103 × 49,103
  4. Step 4: Simplify right side
    32,498x = 2,411,104,609
  5. Step 5: Solve for x
    x = 2,411,104,609/32,498
  6. Step 6: Final answer
    x = 74,192.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.