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Finding the Third Proportional to 44,730 and 61,623

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Solution

The third proportional to 44,730 and 61,623 is: 84,895.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,730 : 61,623 = 61,623 : x
  2. Step 2: Convert to fraction form
    44,730/61,623 = 61,623/x
  3. Step 3: Cross multiply
    44,730x = 61,623 × 61,623
  4. Step 4: Simplify right side
    44,730x = 3,797,394,129
  5. Step 5: Solve for x
    x = 3,797,394,129/44,730
  6. Step 6: Final answer
    x = 84,895.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.