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Finding the Third Proportional to 15,490 and 32,978

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Solution

The third proportional to 15,490 and 32,978 is: 70,209.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,490 : 32,978 = 32,978 : x
  2. Step 2: Convert to fraction form
    15,490/32,978 = 32,978/x
  3. Step 3: Cross multiply
    15,490x = 32,978 × 32,978
  4. Step 4: Simplify right side
    15,490x = 1,087,548,484
  5. Step 5: Solve for x
    x = 1,087,548,484/15,490
  6. Step 6: Final answer
    x = 70,209.71

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.