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Finding the Third Proportional to 27,175.50 and 59,332.50

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Solution

The third proportional to 27,175.50 and 59,332.50 is: 129,541.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,175.50 : 59,332.50 = 59,332.50 : x
  2. Step 2: Convert to fraction form
    27,175.50/59,332.50 = 59,332.50/x
  3. Step 3: Cross multiply
    27,175.50x = 59,332.50 × 59,332.50
  4. Step 4: Simplify right side
    27,175.50x = 3,520,345,556.25
  5. Step 5: Solve for x
    x = 3,520,345,556.25/27,175.50
  6. Step 6: Final answer
    x = 129,541.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.