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Finding the Third Proportional to 23,702.63 and 27,712.13

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Solution

The third proportional to 23,702.63 and 27,712.13 is: 32,399.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,702.63 : 27,712.13 = 27,712.13 : x
  2. Step 2: Convert to fraction form
    23,702.63/27,712.13 = 27,712.13/x
  3. Step 3: Cross multiply
    23,702.63x = 27,712.13 × 27,712.13
  4. Step 4: Simplify right side
    23,702.63x = 767,961,872.02
  5. Step 5: Solve for x
    x = 767,961,872.02/23,702.63
  6. Step 6: Final answer
    x = 32,399.87

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.