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Finding the Third Proportional to 32,346 and 48,561

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Solution

The third proportional to 32,346 and 48,561 is: 72,904.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,346 : 48,561 = 48,561 : x
  2. Step 2: Convert to fraction form
    32,346/48,561 = 48,561/x
  3. Step 3: Cross multiply
    32,346x = 48,561 × 48,561
  4. Step 4: Simplify right side
    32,346x = 2,358,170,721
  5. Step 5: Solve for x
    x = 2,358,170,721/32,346
  6. Step 6: Final answer
    x = 72,904.55

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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.