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Finding the Third Proportional to 29,594 and 44,998

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Solution

The third proportional to 29,594 and 44,998 is: 68,419.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,594 : 44,998 = 44,998 : x
  2. Step 2: Convert to fraction form
    29,594/44,998 = 44,998/x
  3. Step 3: Cross multiply
    29,594x = 44,998 × 44,998
  4. Step 4: Simplify right side
    29,594x = 2,024,820,004
  5. Step 5: Solve for x
    x = 2,024,820,004/29,594
  6. Step 6: Final answer
    x = 68,419.95

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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.