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Finding the Third Proportional to 972 and 2,508

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Solution

The third proportional to 972 and 2,508 is: 6,471.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    972 : 2,508 = 2,508 : x
  2. Step 2: Convert to fraction form
    972/2,508 = 2,508/x
  3. Step 3: Cross multiply
    972x = 2,508 × 2,508
  4. Step 4: Simplify right side
    972x = 6,290,064
  5. Step 5: Solve for x
    x = 6,290,064/972
  6. Step 6: Final answer
    x = 6,471.26

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Why These Related Problems?

These problems maintain the same ratio (2.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.