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Finding the Third Proportional to 15,338.11 and 22,501.55

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Solution

The third proportional to 15,338.11 and 22,501.55 is: 33,010.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,338.11 : 22,501.55 = 22,501.55 : x
  2. Step 2: Convert to fraction form
    15,338.11/22,501.55 = 22,501.55/x
  3. Step 3: Cross multiply
    15,338.11x = 22,501.55 × 22,501.55
  4. Step 4: Simplify right side
    15,338.11x = 506,319,611.77
  5. Step 5: Solve for x
    x = 506,319,611.77/15,338.11
  6. Step 6: Final answer
    x = 33,010.56

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.