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Finding the Third Proportional to 10,337.36 and 22,425.08

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Solution

The third proportional to 10,337.36 and 22,425.08 is: 48,647.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,337.36 : 22,425.08 = 22,425.08 : x
  2. Step 2: Convert to fraction form
    10,337.36/22,425.08 = 22,425.08/x
  3. Step 3: Cross multiply
    10,337.36x = 22,425.08 × 22,425.08
  4. Step 4: Simplify right side
    10,337.36x = 502,884,304.11
  5. Step 5: Solve for x
    x = 502,884,304.11/10,337.36
  6. Step 6: Final answer
    x = 48,647.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.