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Finding the Third Proportional to 6,242.63 and 13,677.47

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Solution

The third proportional to 6,242.63 and 13,677.47 is: 29,967.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,242.63 : 13,677.47 = 13,677.47 : x
  2. Step 2: Convert to fraction form
    6,242.63/13,677.47 = 13,677.47/x
  3. Step 3: Cross multiply
    6,242.63x = 13,677.47 × 13,677.47
  4. Step 4: Simplify right side
    6,242.63x = 187,073,151.41
  5. Step 5: Solve for x
    x = 187,073,151.41/6,242.63
  6. Step 6: Final answer
    x = 29,967.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.