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Finding the Third Proportional to 23,560.88 and 30,967.31

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Solution

The third proportional to 23,560.88 and 30,967.31 is: 40,701.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,560.88 : 30,967.31 = 30,967.31 : x
  2. Step 2: Convert to fraction form
    23,560.88/30,967.31 = 30,967.31/x
  3. Step 3: Cross multiply
    23,560.88x = 30,967.31 × 30,967.31
  4. Step 4: Simplify right side
    23,560.88x = 958,974,443.47
  5. Step 5: Solve for x
    x = 958,974,443.47/23,560.88
  6. Step 6: Final answer
    x = 40,701.99

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.