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Finding the Third Proportional to 6,516 and 8,541

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Solution

The third proportional to 6,516 and 8,541 is: 11,195.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516 : 8,541 = 8,541 : x
  2. Step 2: Convert to fraction form
    6,516/8,541 = 8,541/x
  3. Step 3: Cross multiply
    6,516x = 8,541 × 8,541
  4. Step 4: Simplify right side
    6,516x = 72,948,681
  5. Step 5: Solve for x
    x = 72,948,681/6,516
  6. Step 6: Final answer
    x = 11,195.32

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.