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Finding the Third Proportional to 32,386 and 48,814

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Solution

The third proportional to 32,386 and 48,814 is: 73,575.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,386 : 48,814 = 48,814 : x
  2. Step 2: Convert to fraction form
    32,386/48,814 = 48,814/x
  3. Step 3: Cross multiply
    32,386x = 48,814 × 48,814
  4. Step 4: Simplify right side
    32,386x = 2,382,806,596
  5. Step 5: Solve for x
    x = 2,382,806,596/32,386
  6. Step 6: Final answer
    x = 73,575.21

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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.