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Finding the Third Proportional to 32,510 and 44,157

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Solution

The third proportional to 32,510 and 44,157 is: 59,976.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,510 : 44,157 = 44,157 : x
  2. Step 2: Convert to fraction form
    32,510/44,157 = 44,157/x
  3. Step 3: Cross multiply
    32,510x = 44,157 × 44,157
  4. Step 4: Simplify right side
    32,510x = 1,949,840,649
  5. Step 5: Solve for x
    x = 1,949,840,649/32,510
  6. Step 6: Final answer
    x = 59,976.64

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.