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Finding the Third Proportional to 10,918.13 and 25,228.13

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Solution

The third proportional to 10,918.13 and 25,228.13 is: 58,293.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,918.13 : 25,228.13 = 25,228.13 : x
  2. Step 2: Convert to fraction form
    10,918.13/25,228.13 = 25,228.13/x
  3. Step 3: Cross multiply
    10,918.13x = 25,228.13 × 25,228.13
  4. Step 4: Simplify right side
    10,918.13x = 636,458,291.02
  5. Step 5: Solve for x
    x = 636,458,291.02/10,918.13
  6. Step 6: Final answer
    x = 58,293.74

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.