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Finding the Third Proportional to 29,051 and 44,711

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Solution

The third proportional to 29,051 and 44,711 is: 68,812.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,051 : 44,711 = 44,711 : x
  2. Step 2: Convert to fraction form
    29,051/44,711 = 44,711/x
  3. Step 3: Cross multiply
    29,051x = 44,711 × 44,711
  4. Step 4: Simplify right side
    29,051x = 1,999,073,521
  5. Step 5: Solve for x
    x = 1,999,073,521/29,051
  6. Step 6: Final answer
    x = 68,812.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.