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Finding the Third Proportional to 15,395.12 and 23,161.02

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Solution

The third proportional to 15,395.12 and 23,161.02 is: 34,844.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,395.12 : 23,161.02 = 23,161.02 : x
  2. Step 2: Convert to fraction form
    15,395.12/23,161.02 = 23,161.02/x
  3. Step 3: Cross multiply
    15,395.12x = 23,161.02 × 23,161.02
  4. Step 4: Simplify right side
    15,395.12x = 536,432,690.02
  5. Step 5: Solve for x
    x = 536,432,690.02/15,395.12
  6. Step 6: Final answer
    x = 34,844.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.