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Finding the Third Proportional to 32,510 and 48,632

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Solution

The third proportional to 32,510 and 48,632 is: 72,749.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,510 : 48,632 = 48,632 : x
  2. Step 2: Convert to fraction form
    32,510/48,632 = 48,632/x
  3. Step 3: Cross multiply
    32,510x = 48,632 × 48,632
  4. Step 4: Simplify right side
    32,510x = 2,365,071,424
  5. Step 5: Solve for x
    x = 2,365,071,424/32,510
  6. Step 6: Final answer
    x = 72,749.04

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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.