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Finding the Third Proportional to 15,974.72 and 22,341.66

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Solution

The third proportional to 15,974.72 and 22,341.66 is: 31,246.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,974.72 : 22,341.66 = 22,341.66 : x
  2. Step 2: Convert to fraction form
    15,974.72/22,341.66 = 22,341.66/x
  3. Step 3: Cross multiply
    15,974.72x = 22,341.66 × 22,341.66
  4. Step 4: Simplify right side
    15,974.72x = 499,149,603.99
  5. Step 5: Solve for x
    x = 499,149,603.99/15,974.72
  6. Step 6: Final answer
    x = 31,246.22

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.