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Finding the Third Proportional to 29,557 and 44,233

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Solution

The third proportional to 29,557 and 44,233 is: 66,196.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,557 : 44,233 = 44,233 : x
  2. Step 2: Convert to fraction form
    29,557/44,233 = 44,233/x
  3. Step 3: Cross multiply
    29,557x = 44,233 × 44,233
  4. Step 4: Simplify right side
    29,557x = 1,956,558,289
  5. Step 5: Solve for x
    x = 1,956,558,289/29,557
  6. Step 6: Final answer
    x = 66,196.11

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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.