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Finding the Third Proportional to 10,129.13 and 16,026.38

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Solution

The third proportional to 10,129.13 and 16,026.38 is: 25,357.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,129.13 : 16,026.38 = 16,026.38 : x
  2. Step 2: Convert to fraction form
    10,129.13/16,026.38 = 16,026.38/x
  3. Step 3: Cross multiply
    10,129.13x = 16,026.38 × 16,026.38
  4. Step 4: Simplify right side
    10,129.13x = 256,844,695.64
  5. Step 5: Solve for x
    x = 256,844,695.64/10,129.13
  6. Step 6: Final answer
    x = 25,357.05

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.