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Finding the Third Proportional to 15,452 and 23,610

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Solution

The third proportional to 15,452 and 23,610 is: 36,075.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,452 : 23,610 = 23,610 : x
  2. Step 2: Convert to fraction form
    15,452/23,610 = 23,610/x
  3. Step 3: Cross multiply
    15,452x = 23,610 × 23,610
  4. Step 4: Simplify right side
    15,452x = 557,432,100
  5. Step 5: Solve for x
    x = 557,432,100/15,452
  6. Step 6: Final answer
    x = 36,075.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.