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Finding the Third Proportional to 44,554 and 65,368

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Solution

The third proportional to 44,554 and 65,368 is: 95,905.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,554 : 65,368 = 65,368 : x
  2. Step 2: Convert to fraction form
    44,554/65,368 = 65,368/x
  3. Step 3: Cross multiply
    44,554x = 65,368 × 65,368
  4. Step 4: Simplify right side
    44,554x = 4,272,975,424
  5. Step 5: Solve for x
    x = 4,272,975,424/44,554
  6. Step 6: Final answer
    x = 95,905.54

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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.