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Finding the Third Proportional to 8,713.88 and 18,824.63

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Solution

The third proportional to 8,713.88 and 18,824.63 is: 40,666.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,713.88 : 18,824.63 = 18,824.63 : x
  2. Step 2: Convert to fraction form
    8,713.88/18,824.63 = 18,824.63/x
  3. Step 3: Cross multiply
    8,713.88x = 18,824.63 × 18,824.63
  4. Step 4: Simplify right side
    8,713.88x = 354,366,506.39
  5. Step 5: Solve for x
    x = 354,366,506.39/8,713.88
  6. Step 6: Final answer
    x = 40,666.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.