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Finding the Third Proportional to 44,620 and 59,486

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Solution

The third proportional to 44,620 and 59,486 is: 79,304.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,620 : 59,486 = 59,486 : x
  2. Step 2: Convert to fraction form
    44,620/59,486 = 59,486/x
  3. Step 3: Cross multiply
    44,620x = 59,486 × 59,486
  4. Step 4: Simplify right side
    44,620x = 3,538,584,196
  5. Step 5: Solve for x
    x = 3,538,584,196/44,620
  6. Step 6: Final answer
    x = 79,304.89

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.