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Finding the Third Proportional to 4,127.06 and 9,037.13

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Solution

The third proportional to 4,127.06 and 9,037.13 is: 19,788.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,127.06 : 9,037.13 = 9,037.13 : x
  2. Step 2: Convert to fraction form
    4,127.06/9,037.13 = 9,037.13/x
  3. Step 3: Cross multiply
    4,127.06x = 9,037.13 × 9,037.13
  4. Step 4: Simplify right side
    4,127.06x = 81,669,628.27
  5. Step 5: Solve for x
    x = 81,669,628.27/4,127.06
  6. Step 6: Final answer
    x = 19,788.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.