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Finding the Third Proportional to 58,864 and 75,580

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Solution

The third proportional to 58,864 and 75,580 is: 97,042.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,864 : 75,580 = 75,580 : x
  2. Step 2: Convert to fraction form
    58,864/75,580 = 75,580/x
  3. Step 3: Cross multiply
    58,864x = 75,580 × 75,580
  4. Step 4: Simplify right side
    58,864x = 5,712,336,400
  5. Step 5: Solve for x
    x = 5,712,336,400/58,864
  6. Step 6: Final answer
    x = 97,042.95

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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.