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Finding the Third Proportional to 32,655 and 48,856

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Solution

The third proportional to 32,655 and 48,856 is: 73,094.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,655 : 48,856 = 48,856 : x
  2. Step 2: Convert to fraction form
    32,655/48,856 = 48,856/x
  3. Step 3: Cross multiply
    32,655x = 48,856 × 48,856
  4. Step 4: Simplify right side
    32,655x = 2,386,908,736
  5. Step 5: Solve for x
    x = 2,386,908,736/32,655
  6. Step 6: Final answer
    x = 73,094.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.