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Finding the Third Proportional to 27,100.50 and 59,304

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Solution

The third proportional to 27,100.50 and 59,304 is: 129,774.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,100.50 : 59,304 = 59,304 : x
  2. Step 2: Convert to fraction form
    27,100.50/59,304 = 59,304/x
  3. Step 3: Cross multiply
    27,100.50x = 59,304 × 59,304
  4. Step 4: Simplify right side
    27,100.50x = 3,516,964,416
  5. Step 5: Solve for x
    x = 3,516,964,416/27,100.50
  6. Step 6: Final answer
    x = 129,774.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.