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Finding the Third Proportional to 32,248 and 70,832

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Solution

The third proportional to 32,248 and 70,832 is: 155,580.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,248 : 70,832 = 70,832 : x
  2. Step 2: Convert to fraction form
    32,248/70,832 = 70,832/x
  3. Step 3: Cross multiply
    32,248x = 70,832 × 70,832
  4. Step 4: Simplify right side
    32,248x = 5,017,172,224
  5. Step 5: Solve for x
    x = 5,017,172,224/32,248
  6. Step 6: Final answer
    x = 155,580.88

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.