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Finding the Third Proportional to 44,334 and 59,814

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Solution

The third proportional to 44,334 and 59,814 is: 80,699.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,334 : 59,814 = 59,814 : x
  2. Step 2: Convert to fraction form
    44,334/59,814 = 59,814/x
  3. Step 3: Cross multiply
    44,334x = 59,814 × 59,814
  4. Step 4: Simplify right side
    44,334x = 3,577,714,596
  5. Step 5: Solve for x
    x = 3,577,714,596/44,334
  6. Step 6: Final answer
    x = 80,699.12

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.