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Finding the Third Proportional to 28,080 and 60,533

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Solution

The third proportional to 28,080 and 60,533 is: 130,493.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,080 : 60,533 = 60,533 : x
  2. Step 2: Convert to fraction form
    28,080/60,533 = 60,533/x
  3. Step 3: Cross multiply
    28,080x = 60,533 × 60,533
  4. Step 4: Simplify right side
    28,080x = 3,664,244,089
  5. Step 5: Solve for x
    x = 3,664,244,089/28,080
  6. Step 6: Final answer
    x = 130,493.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.