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Finding the Third Proportional to 7,948.13 and 20,386.69

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Solution

The third proportional to 7,948.13 and 20,386.69 is: 52,291.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,948.13 : 20,386.69 = 20,386.69 : x
  2. Step 2: Convert to fraction form
    7,948.13/20,386.69 = 20,386.69/x
  3. Step 3: Cross multiply
    7,948.13x = 20,386.69 × 20,386.69
  4. Step 4: Simplify right side
    7,948.13x = 415,617,027.22
  5. Step 5: Solve for x
    x = 415,617,027.22/7,948.13
  6. Step 6: Final answer
    x = 52,291.20

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.