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Finding the Third Proportional to 40,948.88 and 58,006.13

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Solution

The third proportional to 40,948.88 and 58,006.13 is: 82,168.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,948.88 : 58,006.13 = 58,006.13 : x
  2. Step 2: Convert to fraction form
    40,948.88/58,006.13 = 58,006.13/x
  3. Step 3: Cross multiply
    40,948.88x = 58,006.13 × 58,006.13
  4. Step 4: Simplify right side
    40,948.88x = 3,364,710,537.52
  5. Step 5: Solve for x
    x = 3,364,710,537.52/40,948.88
  6. Step 6: Final answer
    x = 82,168.57

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.