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Finding the Third Proportional to 29,233 and 44,045.50

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Solution

The third proportional to 29,233 and 44,045.50 is: 66,363.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,233 : 44,045.50 = 44,045.50 : x
  2. Step 2: Convert to fraction form
    29,233/44,045.50 = 44,045.50/x
  3. Step 3: Cross multiply
    29,233x = 44,045.50 × 44,045.50
  4. Step 4: Simplify right side
    29,233x = 1,940,006,070.25
  5. Step 5: Solve for x
    x = 1,940,006,070.25/29,233
  6. Step 6: Final answer
    x = 66,363.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.