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Finding the Third Proportional to 14,565.94 and 31,726.78

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Solution

The third proportional to 14,565.94 and 31,726.78 is: 69,105.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,565.94 : 31,726.78 = 31,726.78 : x
  2. Step 2: Convert to fraction form
    14,565.94/31,726.78 = 31,726.78/x
  3. Step 3: Cross multiply
    14,565.94x = 31,726.78 × 31,726.78
  4. Step 4: Simplify right side
    14,565.94x = 1,006,588,648.49
  5. Step 5: Solve for x
    x = 1,006,588,648.49/14,565.94
  6. Step 6: Final answer
    x = 69,105.65

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.