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Finding the Third Proportional to 38,973 and 84,587

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Solution

The third proportional to 38,973 and 84,587 is: 183,587.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,973 : 84,587 = 84,587 : x
  2. Step 2: Convert to fraction form
    38,973/84,587 = 84,587/x
  3. Step 3: Cross multiply
    38,973x = 84,587 × 84,587
  4. Step 4: Simplify right side
    38,973x = 7,154,960,569
  5. Step 5: Solve for x
    x = 7,154,960,569/38,973
  6. Step 6: Final answer
    x = 183,587.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.