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Finding the Third Proportional to 4,588 and 6,486

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Solution

The third proportional to 4,588 and 6,486 is: 9,169.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,588 : 6,486 = 6,486 : x
  2. Step 2: Convert to fraction form
    4,588/6,486 = 6,486/x
  3. Step 3: Cross multiply
    4,588x = 6,486 × 6,486
  4. Step 4: Simplify right side
    4,588x = 42,068,196
  5. Step 5: Solve for x
    x = 42,068,196/4,588
  6. Step 6: Final answer
    x = 9,169.18

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.