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Finding the Third Proportional to 32,718 and 48,465

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Solution

The third proportional to 32,718 and 48,465 is: 71,790.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,718 : 48,465 = 48,465 : x
  2. Step 2: Convert to fraction form
    32,718/48,465 = 48,465/x
  3. Step 3: Cross multiply
    32,718x = 48,465 × 48,465
  4. Step 4: Simplify right side
    32,718x = 2,348,856,225
  5. Step 5: Solve for x
    x = 2,348,856,225/32,718
  6. Step 6: Final answer
    x = 71,790.95

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.