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Finding the Third Proportional to 27,875.50 and 59,567

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Solution

The third proportional to 27,875.50 and 59,567 is: 127,288.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,875.50 : 59,567 = 59,567 : x
  2. Step 2: Convert to fraction form
    27,875.50/59,567 = 59,567/x
  3. Step 3: Cross multiply
    27,875.50x = 59,567 × 59,567
  4. Step 4: Simplify right side
    27,875.50x = 3,548,227,489
  5. Step 5: Solve for x
    x = 3,548,227,489/27,875.50
  6. Step 6: Final answer
    x = 127,288.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.