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Finding the Third Proportional to 9,547.24 and 20,937.87

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Solution

The third proportional to 9,547.24 and 20,937.87 is: 45,918.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,547.24 : 20,937.87 = 20,937.87 : x
  2. Step 2: Convert to fraction form
    9,547.24/20,937.87 = 20,937.87/x
  3. Step 3: Cross multiply
    9,547.24x = 20,937.87 × 20,937.87
  4. Step 4: Simplify right side
    9,547.24x = 438,394,282.36
  5. Step 5: Solve for x
    x = 438,394,282.36/9,547.24
  6. Step 6: Final answer
    x = 45,918.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.