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Finding the Third Proportional to 10,209.38 and 16,043.91

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Solution

The third proportional to 10,209.38 and 16,043.91 is: 25,212.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,209.38 : 16,043.91 = 16,043.91 : x
  2. Step 2: Convert to fraction form
    10,209.38/16,043.91 = 16,043.91/x
  3. Step 3: Cross multiply
    10,209.38x = 16,043.91 × 16,043.91
  4. Step 4: Simplify right side
    10,209.38x = 257,406,927.76
  5. Step 5: Solve for x
    x = 257,406,927.76/10,209.38
  6. Step 6: Final answer
    x = 25,212.80

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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.