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Finding the Third Proportional to 6,534.75 and 14,254.13

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Solution

The third proportional to 6,534.75 and 14,254.13 is: 31,092.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,534.75 : 14,254.13 = 14,254.13 : x
  2. Step 2: Convert to fraction form
    6,534.75/14,254.13 = 14,254.13/x
  3. Step 3: Cross multiply
    6,534.75x = 14,254.13 × 14,254.13
  4. Step 4: Simplify right side
    6,534.75x = 203,180,079.52
  5. Step 5: Solve for x
    x = 203,180,079.52/6,534.75
  6. Step 6: Final answer
    x = 31,092.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.