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Finding the Third Proportional to 10,545.19 and 24,950.53

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Solution

The third proportional to 10,545.19 and 24,950.53 is: 59,034.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,545.19 : 24,950.53 = 24,950.53 : x
  2. Step 2: Convert to fraction form
    10,545.19/24,950.53 = 24,950.53/x
  3. Step 3: Cross multiply
    10,545.19x = 24,950.53 × 24,950.53
  4. Step 4: Simplify right side
    10,545.19x = 622,529,009.66
  5. Step 5: Solve for x
    x = 622,529,009.66/10,545.19
  6. Step 6: Final answer
    x = 59,034.42

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.