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Finding the Third Proportional to 39,031.88 and 83,597.91

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Solution

The third proportional to 39,031.88 and 83,597.91 is: 179,048.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,031.88 : 83,597.91 = 83,597.91 : x
  2. Step 2: Convert to fraction form
    39,031.88/83,597.91 = 83,597.91/x
  3. Step 3: Cross multiply
    39,031.88x = 83,597.91 × 83,597.91
  4. Step 4: Simplify right side
    39,031.88x = 6,988,609,929.38
  5. Step 5: Solve for x
    x = 6,988,609,929.38/39,031.88
  6. Step 6: Final answer
    x = 179,048.79

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