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Finding the Third Proportional to 15,154.59 and 20,386.69

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Solution

The third proportional to 15,154.59 and 20,386.69 is: 27,425.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,154.59 : 20,386.69 = 20,386.69 : x
  2. Step 2: Convert to fraction form
    15,154.59/20,386.69 = 20,386.69/x
  3. Step 3: Cross multiply
    15,154.59x = 20,386.69 × 20,386.69
  4. Step 4: Simplify right side
    15,154.59x = 415,617,027.22
  5. Step 5: Solve for x
    x = 415,617,027.22/15,154.59
  6. Step 6: Final answer
    x = 27,425.15

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.