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Finding the Third Proportional to 23,080 and 36,444

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Solution

The third proportional to 23,080 and 36,444 is: 57,546.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,080 : 36,444 = 36,444 : x
  2. Step 2: Convert to fraction form
    23,080/36,444 = 36,444/x
  3. Step 3: Cross multiply
    23,080x = 36,444 × 36,444
  4. Step 4: Simplify right side
    23,080x = 1,328,165,136
  5. Step 5: Solve for x
    x = 1,328,165,136/23,080
  6. Step 6: Final answer
    x = 57,546.15

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.