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Finding the Third Proportional to 16,141.50 and 23,569.88

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Solution

The third proportional to 16,141.50 and 23,569.88 is: 34,416.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,141.50 : 23,569.88 = 23,569.88 : x
  2. Step 2: Convert to fraction form
    16,141.50/23,569.88 = 23,569.88/x
  3. Step 3: Cross multiply
    16,141.50x = 23,569.88 × 23,569.88
  4. Step 4: Simplify right side
    16,141.50x = 555,539,007.52
  5. Step 5: Solve for x
    x = 555,539,007.52/16,141.50
  6. Step 6: Final answer
    x = 34,416.81

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.