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Finding the Third Proportional to 22,080 and 52,085

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Solution

The third proportional to 22,080 and 52,085 is: 122,864.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,080 : 52,085 = 52,085 : x
  2. Step 2: Convert to fraction form
    22,080/52,085 = 52,085/x
  3. Step 3: Cross multiply
    22,080x = 52,085 × 52,085
  4. Step 4: Simplify right side
    22,080x = 2,712,847,225
  5. Step 5: Solve for x
    x = 2,712,847,225/22,080
  6. Step 6: Final answer
    x = 122,864.46

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.