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Finding the Third Proportional to 44,342 and 65,055

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Solution

The third proportional to 44,342 and 65,055 is: 95,443.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,342 : 65,055 = 65,055 : x
  2. Step 2: Convert to fraction form
    44,342/65,055 = 65,055/x
  3. Step 3: Cross multiply
    44,342x = 65,055 × 65,055
  4. Step 4: Simplify right side
    44,342x = 4,232,153,025
  5. Step 5: Solve for x
    x = 4,232,153,025/44,342
  6. Step 6: Final answer
    x = 95,443.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.