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Finding the Third Proportional to 22,326.47 and 47,723.55

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Solution

The third proportional to 22,326.47 and 47,723.55 is: 102,010.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,326.47 : 47,723.55 = 47,723.55 : x
  2. Step 2: Convert to fraction form
    22,326.47/47,723.55 = 47,723.55/x
  3. Step 3: Cross multiply
    22,326.47x = 47,723.55 × 47,723.55
  4. Step 4: Simplify right side
    22,326.47x = 2,277,537,672.01
  5. Step 5: Solve for x
    x = 2,277,537,672.01/22,326.47
  6. Step 6: Final answer
    x = 102,010.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.