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Finding the Third Proportional to 22,678.38 and 31,726.98

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Solution

The third proportional to 22,678.38 and 31,726.98 is: 44,385.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,678.38 : 31,726.98 = 31,726.98 : x
  2. Step 2: Convert to fraction form
    22,678.38/31,726.98 = 31,726.98/x
  3. Step 3: Cross multiply
    22,678.38x = 31,726.98 × 31,726.98
  4. Step 4: Simplify right side
    22,678.38x = 1,006,601,522.04
  5. Step 5: Solve for x
    x = 1,006,601,522.04/22,678.38
  6. Step 6: Final answer
    x = 44,385.96

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