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Finding the Third Proportional to 32,248 and 45,672

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Solution

The third proportional to 32,248 and 45,672 is: 64,684.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,248 : 45,672 = 45,672 : x
  2. Step 2: Convert to fraction form
    32,248/45,672 = 45,672/x
  3. Step 3: Cross multiply
    32,248x = 45,672 × 45,672
  4. Step 4: Simplify right side
    32,248x = 2,085,931,584
  5. Step 5: Solve for x
    x = 2,085,931,584/32,248
  6. Step 6: Final answer
    x = 64,684.06

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.