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Finding the Third Proportional to 2,164 and 4,580

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Solution

The third proportional to 2,164 and 4,580 is: 9,693.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164 : 4,580 = 4,580 : x
  2. Step 2: Convert to fraction form
    2,164/4,580 = 4,580/x
  3. Step 3: Cross multiply
    2,164x = 4,580 × 4,580
  4. Step 4: Simplify right side
    2,164x = 20,976,400
  5. Step 5: Solve for x
    x = 20,976,400/2,164
  6. Step 6: Final answer
    x = 9,693.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.