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Finding the Third Proportional to 15,285 and 22,441.50

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Solution

The third proportional to 15,285 and 22,441.50 is: 32,948.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,285 : 22,441.50 = 22,441.50 : x
  2. Step 2: Convert to fraction form
    15,285/22,441.50 = 22,441.50/x
  3. Step 3: Cross multiply
    15,285x = 22,441.50 × 22,441.50
  4. Step 4: Simplify right side
    15,285x = 503,620,922.25
  5. Step 5: Solve for x
    x = 503,620,922.25/15,285
  6. Step 6: Final answer
    x = 32,948.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.