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Finding the Third Proportional to 4,822 and 5,614

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Solution

The third proportional to 4,822 and 5,614 is: 6,536.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,822 : 5,614 = 5,614 : x
  2. Step 2: Convert to fraction form
    4,822/5,614 = 5,614/x
  3. Step 3: Cross multiply
    4,822x = 5,614 × 5,614
  4. Step 4: Simplify right side
    4,822x = 31,516,996
  5. Step 5: Solve for x
    x = 31,516,996/4,822
  6. Step 6: Final answer
    x = 6,536.08

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.