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Finding the Third Proportional to 11,437.88 and 17,155.13

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Solution

The third proportional to 11,437.88 and 17,155.13 is: 25,730.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,437.88 : 17,155.13 = 17,155.13 : x
  2. Step 2: Convert to fraction form
    11,437.88/17,155.13 = 17,155.13/x
  3. Step 3: Cross multiply
    11,437.88x = 17,155.13 × 17,155.13
  4. Step 4: Simplify right side
    11,437.88x = 294,298,313.77
  5. Step 5: Solve for x
    x = 294,298,313.77/11,437.88
  6. Step 6: Final answer
    x = 25,730.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.