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Finding the Third Proportional to 15,633 and 23,454.56

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Solution

The third proportional to 15,633 and 23,454.56 is: 35,189.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,633 : 23,454.56 = 23,454.56 : x
  2. Step 2: Convert to fraction form
    15,633/23,454.56 = 23,454.56/x
  3. Step 3: Cross multiply
    15,633x = 23,454.56 × 23,454.56
  4. Step 4: Simplify right side
    15,633x = 550,116,502.07
  5. Step 5: Solve for x
    x = 550,116,502.07/15,633
  6. Step 6: Final answer
    x = 35,189.44

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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.