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Finding the Third Proportional to 4,522 and 6,959

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Solution

The third proportional to 4,522 and 6,959 is: 10,709.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,522 : 6,959 = 6,959 : x
  2. Step 2: Convert to fraction form
    4,522/6,959 = 6,959/x
  3. Step 3: Cross multiply
    4,522x = 6,959 × 6,959
  4. Step 4: Simplify right side
    4,522x = 48,427,681
  5. Step 5: Solve for x
    x = 48,427,681/4,522
  6. Step 6: Final answer
    x = 10,709.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.