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Finding the Third Proportional to 22,714 and 48,533

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Solution

The third proportional to 22,714 and 48,533 is: 103,700.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,714 : 48,533 = 48,533 : x
  2. Step 2: Convert to fraction form
    22,714/48,533 = 48,533/x
  3. Step 3: Cross multiply
    22,714x = 48,533 × 48,533
  4. Step 4: Simplify right side
    22,714x = 2,355,452,089
  5. Step 5: Solve for x
    x = 2,355,452,089/22,714
  6. Step 6: Final answer
    x = 103,700.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.