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Finding the Third Proportional to 32,438 and 48,889

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Solution

The third proportional to 32,438 and 48,889 is: 73,683.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,438 : 48,889 = 48,889 : x
  2. Step 2: Convert to fraction form
    32,438/48,889 = 48,889/x
  3. Step 3: Cross multiply
    32,438x = 48,889 × 48,889
  4. Step 4: Simplify right side
    32,438x = 2,390,134,321
  5. Step 5: Solve for x
    x = 2,390,134,321/32,438
  6. Step 6: Final answer
    x = 73,683.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.