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Finding the Third Proportional to 32,248 and 48,858

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Solution

The third proportional to 32,248 and 48,858 is: 74,023.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,248 : 48,858 = 48,858 : x
  2. Step 2: Convert to fraction form
    32,248/48,858 = 48,858/x
  3. Step 3: Cross multiply
    32,248x = 48,858 × 48,858
  4. Step 4: Simplify right side
    32,248x = 2,387,104,164
  5. Step 5: Solve for x
    x = 2,387,104,164/32,248
  6. Step 6: Final answer
    x = 74,023.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.