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Finding the Third Proportional to 12,233.53 and 28,345.57

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Solution

The third proportional to 12,233.53 and 28,345.57 is: 65,677.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,233.53 : 28,345.57 = 28,345.57 : x
  2. Step 2: Convert to fraction form
    12,233.53/28,345.57 = 28,345.57/x
  3. Step 3: Cross multiply
    12,233.53x = 28,345.57 × 28,345.57
  4. Step 4: Simplify right side
    12,233.53x = 803,471,356.34
  5. Step 5: Solve for x
    x = 803,471,356.34/12,233.53
  6. Step 6: Final answer
    x = 65,677.79

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.