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Finding the Third Proportional to 29,585 and 44,985

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Solution

The third proportional to 29,585 and 44,985 is: 68,401.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,585 : 44,985 = 44,985 : x
  2. Step 2: Convert to fraction form
    29,585/44,985 = 44,985/x
  3. Step 3: Cross multiply
    29,585x = 44,985 × 44,985
  4. Step 4: Simplify right side
    29,585x = 2,023,650,225
  5. Step 5: Solve for x
    x = 2,023,650,225/29,585
  6. Step 6: Final answer
    x = 68,401.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.