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Finding the Third Proportional to 4,613 and 6,591

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Solution

The third proportional to 4,613 and 6,591 is: 9,417.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,613 : 6,591 = 6,591 : x
  2. Step 2: Convert to fraction form
    4,613/6,591 = 6,591/x
  3. Step 3: Cross multiply
    4,613x = 6,591 × 6,591
  4. Step 4: Simplify right side
    4,613x = 43,441,281
  5. Step 5: Solve for x
    x = 43,441,281/4,613
  6. Step 6: Final answer
    x = 9,417.14

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.