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Finding the Third Proportional to 44,976 and 64,780

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Solution

The third proportional to 44,976 and 64,780 is: 93,304.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,976 : 64,780 = 64,780 : x
  2. Step 2: Convert to fraction form
    44,976/64,780 = 64,780/x
  3. Step 3: Cross multiply
    44,976x = 64,780 × 64,780
  4. Step 4: Simplify right side
    44,976x = 4,196,448,400
  5. Step 5: Solve for x
    x = 4,196,448,400/44,976
  6. Step 6: Final answer
    x = 93,304.17

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.