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Finding the Third Proportional to 22,545.31 and 35,045.97

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Solution

The third proportional to 22,545.31 and 35,045.97 is: 54,477.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,545.31 : 35,045.97 = 35,045.97 : x
  2. Step 2: Convert to fraction form
    22,545.31/35,045.97 = 35,045.97/x
  3. Step 3: Cross multiply
    22,545.31x = 35,045.97 × 35,045.97
  4. Step 4: Simplify right side
    22,545.31x = 1,228,219,925.63
  5. Step 5: Solve for x
    x = 1,228,219,925.63/22,545.31
  6. Step 6: Final answer
    x = 54,477.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.