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Finding the Third Proportional to 16,068.38 and 24,713.63

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Solution

The third proportional to 16,068.38 and 24,713.63 is: 38,010.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,068.38 : 24,713.63 = 24,713.63 : x
  2. Step 2: Convert to fraction form
    16,068.38/24,713.63 = 24,713.63/x
  3. Step 3: Cross multiply
    16,068.38x = 24,713.63 × 24,713.63
  4. Step 4: Simplify right side
    16,068.38x = 610,763,260.64
  5. Step 5: Solve for x
    x = 610,763,260.64/16,068.38
  6. Step 6: Final answer
    x = 38,010.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.