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Finding the Third Proportional to 8,020 and 10,614

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Solution

The third proportional to 8,020 and 10,614 is: 14,047.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,020 : 10,614 = 10,614 : x
  2. Step 2: Convert to fraction form
    8,020/10,614 = 10,614/x
  3. Step 3: Cross multiply
    8,020x = 10,614 × 10,614
  4. Step 4: Simplify right side
    8,020x = 112,656,996
  5. Step 5: Solve for x
    x = 112,656,996/8,020
  6. Step 6: Final answer
    x = 14,047.01

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.