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Finding the Third Proportional to 32,352 and 48,480

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Solution

The third proportional to 32,352 and 48,480 is: 72,648.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,352 : 48,480 = 48,480 : x
  2. Step 2: Convert to fraction form
    32,352/48,480 = 48,480/x
  3. Step 3: Cross multiply
    32,352x = 48,480 × 48,480
  4. Step 4: Simplify right side
    32,352x = 2,350,310,400
  5. Step 5: Solve for x
    x = 2,350,310,400/32,352
  6. Step 6: Final answer
    x = 72,648.07

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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.