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Finding the Third Proportional to 6,442 and 14,113

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Solution

The third proportional to 6,442 and 14,113 is: 30,918.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442 : 14,113 = 14,113 : x
  2. Step 2: Convert to fraction form
    6,442/14,113 = 14,113/x
  3. Step 3: Cross multiply
    6,442x = 14,113 × 14,113
  4. Step 4: Simplify right side
    6,442x = 199,176,769
  5. Step 5: Solve for x
    x = 199,176,769/6,442
  6. Step 6: Final answer
    x = 30,918.47

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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.