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Finding the Third Proportional to 19,276 and 44,780

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Solution

The third proportional to 19,276 and 44,780 is: 104,028.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,276 : 44,780 = 44,780 : x
  2. Step 2: Convert to fraction form
    19,276/44,780 = 44,780/x
  3. Step 3: Cross multiply
    19,276x = 44,780 × 44,780
  4. Step 4: Simplify right side
    19,276x = 2,005,248,400
  5. Step 5: Solve for x
    x = 2,005,248,400/19,276
  6. Step 6: Final answer
    x = 104,028.24

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.