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Finding the Third Proportional to 44,448 and 64,917

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Solution

The third proportional to 44,448 and 64,917 is: 94,812.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,448 : 64,917 = 64,917 : x
  2. Step 2: Convert to fraction form
    44,448/64,917 = 64,917/x
  3. Step 3: Cross multiply
    44,448x = 64,917 × 64,917
  4. Step 4: Simplify right side
    44,448x = 4,214,216,889
  5. Step 5: Solve for x
    x = 4,214,216,889/44,448
  6. Step 6: Final answer
    x = 94,812.30

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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.