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Finding the Third Proportional to 32,416 and 48,856

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Solution

The third proportional to 32,416 and 48,856 is: 73,633.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,416 : 48,856 = 48,856 : x
  2. Step 2: Convert to fraction form
    32,416/48,856 = 48,856/x
  3. Step 3: Cross multiply
    32,416x = 48,856 × 48,856
  4. Step 4: Simplify right side
    32,416x = 2,386,908,736
  5. Step 5: Solve for x
    x = 2,386,908,736/32,416
  6. Step 6: Final answer
    x = 73,633.66

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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.