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Finding the Third Proportional to 14,601.83 and 22,875.86

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Solution

The third proportional to 14,601.83 and 22,875.86 is: 35,838.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,601.83 : 22,875.86 = 22,875.86 : x
  2. Step 2: Convert to fraction form
    14,601.83/22,875.86 = 22,875.86/x
  3. Step 3: Cross multiply
    14,601.83x = 22,875.86 × 22,875.86
  4. Step 4: Simplify right side
    14,601.83x = 523,304,763.43
  5. Step 5: Solve for x
    x = 523,304,763.43/14,601.83
  6. Step 6: Final answer
    x = 35,838.29

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.