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Finding the Third Proportional to 27,031.13 and 43,044.94

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Solution

The third proportional to 27,031.13 and 43,044.94 is: 68,545.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,031.13 : 43,044.94 = 43,044.94 : x
  2. Step 2: Convert to fraction form
    27,031.13/43,044.94 = 43,044.94/x
  3. Step 3: Cross multiply
    27,031.13x = 43,044.94 × 43,044.94
  4. Step 4: Simplify right side
    27,031.13x = 1,852,866,644.38
  5. Step 5: Solve for x
    x = 1,852,866,644.38/27,031.13
  6. Step 6: Final answer
    x = 68,545.67

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.