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Finding the Third Proportional to 44,937 and 65,781

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Solution

The third proportional to 44,937 and 65,781 is: 96,293.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,937 : 65,781 = 65,781 : x
  2. Step 2: Convert to fraction form
    44,937/65,781 = 65,781/x
  3. Step 3: Cross multiply
    44,937x = 65,781 × 65,781
  4. Step 4: Simplify right side
    44,937x = 4,327,139,961
  5. Step 5: Solve for x
    x = 4,327,139,961/44,937
  6. Step 6: Final answer
    x = 96,293.48

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.