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Finding the Third Proportional to 38,154.38 and 58,366.13

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Solution

The third proportional to 38,154.38 and 58,366.13 is: 89,284.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,154.38 : 58,366.13 = 58,366.13 : x
  2. Step 2: Convert to fraction form
    38,154.38/58,366.13 = 58,366.13/x
  3. Step 3: Cross multiply
    38,154.38x = 58,366.13 × 58,366.13
  4. Step 4: Simplify right side
    38,154.38x = 3,406,604,547.52
  5. Step 5: Solve for x
    x = 3,406,604,547.52/38,154.38
  6. Step 6: Final answer
    x = 89,284.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.