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Finding the Third Proportional to 6,266.27 and 13,510.71

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Solution

The third proportional to 6,266.27 and 13,510.71 is: 29,130.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,266.27 : 13,510.71 = 13,510.71 : x
  2. Step 2: Convert to fraction form
    6,266.27/13,510.71 = 13,510.71/x
  3. Step 3: Cross multiply
    6,266.27x = 13,510.71 × 13,510.71
  4. Step 4: Simplify right side
    6,266.27x = 182,539,151.71
  5. Step 5: Solve for x
    x = 182,539,151.71/6,266.27
  6. Step 6: Final answer
    x = 29,130.44

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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.