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Finding the Third Proportional to 46,498 and 59,703

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Solution

The third proportional to 46,498 and 59,703 is: 76,658.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,498 : 59,703 = 59,703 : x
  2. Step 2: Convert to fraction form
    46,498/59,703 = 59,703/x
  3. Step 3: Cross multiply
    46,498x = 59,703 × 59,703
  4. Step 4: Simplify right side
    46,498x = 3,564,448,209
  5. Step 5: Solve for x
    x = 3,564,448,209/46,498
  6. Step 6: Final answer
    x = 76,658.10

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.