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Finding the Third Proportional to 44,330 and 65,844

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Solution

The third proportional to 44,330 and 65,844 is: 97,799.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,330 : 65,844 = 65,844 : x
  2. Step 2: Convert to fraction form
    44,330/65,844 = 65,844/x
  3. Step 3: Cross multiply
    44,330x = 65,844 × 65,844
  4. Step 4: Simplify right side
    44,330x = 4,335,432,336
  5. Step 5: Solve for x
    x = 4,335,432,336/44,330
  6. Step 6: Final answer
    x = 97,799.06

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.