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Finding the Third Proportional to 16,412.88 and 23,901.75

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Solution

The third proportional to 16,412.88 and 23,901.75 is: 34,807.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,412.88 : 23,901.75 = 23,901.75 : x
  2. Step 2: Convert to fraction form
    16,412.88/23,901.75 = 23,901.75/x
  3. Step 3: Cross multiply
    16,412.88x = 23,901.75 × 23,901.75
  4. Step 4: Simplify right side
    16,412.88x = 571,293,653.06
  5. Step 5: Solve for x
    x = 571,293,653.06/16,412.88
  6. Step 6: Final answer
    x = 34,807.65

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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.