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Finding the Third Proportional to 4,970 and 10,452

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Solution

The third proportional to 4,970 and 10,452 is: 21,980.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970 : 10,452 = 10,452 : x
  2. Step 2: Convert to fraction form
    4,970/10,452 = 10,452/x
  3. Step 3: Cross multiply
    4,970x = 10,452 × 10,452
  4. Step 4: Simplify right side
    4,970x = 109,244,304
  5. Step 5: Solve for x
    x = 109,244,304/4,970
  6. Step 6: Final answer
    x = 21,980.75

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.