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Finding the Third Proportional to 46,498 and 67,478

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Solution

The third proportional to 46,498 and 67,478 is: 97,924.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,498 : 67,478 = 67,478 : x
  2. Step 2: Convert to fraction form
    46,498/67,478 = 67,478/x
  3. Step 3: Cross multiply
    46,498x = 67,478 × 67,478
  4. Step 4: Simplify right side
    46,498x = 4,553,280,484
  5. Step 5: Solve for x
    x = 4,553,280,484/46,498
  6. Step 6: Final answer
    x = 97,924.22

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.