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Finding the Third Proportional to 23,047.88 and 31,281.19

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Solution

The third proportional to 23,047.88 and 31,281.19 is: 42,455.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,047.88 : 31,281.19 = 31,281.19 : x
  2. Step 2: Convert to fraction form
    23,047.88/31,281.19 = 31,281.19/x
  3. Step 3: Cross multiply
    23,047.88x = 31,281.19 × 31,281.19
  4. Step 4: Simplify right side
    23,047.88x = 978,512,691.41
  5. Step 5: Solve for x
    x = 978,512,691.41/23,047.88
  6. Step 6: Final answer
    x = 42,455.66

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.