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Finding the Third Proportional to 11,437.03 and 17,601.47

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Solution

The third proportional to 11,437.03 and 17,601.47 is: 27,088.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,437.03 : 17,601.47 = 17,601.47 : x
  2. Step 2: Convert to fraction form
    11,437.03/17,601.47 = 17,601.47/x
  3. Step 3: Cross multiply
    11,437.03x = 17,601.47 × 17,601.47
  4. Step 4: Simplify right side
    11,437.03x = 309,811,702.16
  5. Step 5: Solve for x
    x = 309,811,702.16/11,437.03
  6. Step 6: Final answer
    x = 27,088.47

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