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Finding the Third Proportional to 24,788 and 54,490

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Solution

The third proportional to 24,788 and 54,490 is: 119,782.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,788 : 54,490 = 54,490 : x
  2. Step 2: Convert to fraction form
    24,788/54,490 = 54,490/x
  3. Step 3: Cross multiply
    24,788x = 54,490 × 54,490
  4. Step 4: Simplify right side
    24,788x = 2,969,160,100
  5. Step 5: Solve for x
    x = 2,969,160,100/24,788
  6. Step 6: Final answer
    x = 119,782.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.