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Finding the Third Proportional to 4,535 and 9,614

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Solution

The third proportional to 4,535 and 9,614 is: 20,381.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,535 : 9,614 = 9,614 : x
  2. Step 2: Convert to fraction form
    4,535/9,614 = 9,614/x
  3. Step 3: Cross multiply
    4,535x = 9,614 × 9,614
  4. Step 4: Simplify right side
    4,535x = 92,428,996
  5. Step 5: Solve for x
    x = 92,428,996/4,535
  6. Step 6: Final answer
    x = 20,381.26

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.