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Finding the Third Proportional to 10,901.75 and 23,545.75

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Solution

The third proportional to 10,901.75 and 23,545.75 is: 50,854.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,901.75 : 23,545.75 = 23,545.75 : x
  2. Step 2: Convert to fraction form
    10,901.75/23,545.75 = 23,545.75/x
  3. Step 3: Cross multiply
    10,901.75x = 23,545.75 × 23,545.75
  4. Step 4: Simplify right side
    10,901.75x = 554,402,343.06
  5. Step 5: Solve for x
    x = 554,402,343.06/10,901.75
  6. Step 6: Final answer
    x = 50,854.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.