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Finding the Third Proportional to 10,545.38 and 22,275.75

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Solution

The third proportional to 10,545.38 and 22,275.75 is: 47,054.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,545.38 : 22,275.75 = 22,275.75 : x
  2. Step 2: Convert to fraction form
    10,545.38/22,275.75 = 22,275.75/x
  3. Step 3: Cross multiply
    10,545.38x = 22,275.75 × 22,275.75
  4. Step 4: Simplify right side
    10,545.38x = 496,209,038.06
  5. Step 5: Solve for x
    x = 496,209,038.06/10,545.38
  6. Step 6: Final answer
    x = 47,054.66

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.