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Finding the Third Proportional to 16,588.13 and 25,145.44

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Solution

The third proportional to 16,588.13 and 25,145.44 is: 38,117.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,588.13 : 25,145.44 = 25,145.44 : x
  2. Step 2: Convert to fraction form
    16,588.13/25,145.44 = 25,145.44/x
  3. Step 3: Cross multiply
    16,588.13x = 25,145.44 × 25,145.44
  4. Step 4: Simplify right side
    16,588.13x = 632,293,027.07
  5. Step 5: Solve for x
    x = 632,293,027.07/16,588.13
  6. Step 6: Final answer
    x = 38,117.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.