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Finding the Third Proportional to 22,747.08 and 32,007.66

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Solution

The third proportional to 22,747.08 and 32,007.66 is: 45,038.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,747.08 : 32,007.66 = 32,007.66 : x
  2. Step 2: Convert to fraction form
    22,747.08/32,007.66 = 32,007.66/x
  3. Step 3: Cross multiply
    22,747.08x = 32,007.66 × 32,007.66
  4. Step 4: Simplify right side
    22,747.08x = 1,024,490,058.62
  5. Step 5: Solve for x
    x = 1,024,490,058.62/22,747.08
  6. Step 6: Final answer
    x = 45,038.31

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.