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Finding the Third Proportional to 15,900.38 and 23,364.38

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Solution

The third proportional to 15,900.38 and 23,364.38 is: 34,332.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,900.38 : 23,364.38 = 23,364.38 : x
  2. Step 2: Convert to fraction form
    15,900.38/23,364.38 = 23,364.38/x
  3. Step 3: Cross multiply
    15,900.38x = 23,364.38 × 23,364.38
  4. Step 4: Simplify right side
    15,900.38x = 545,894,019.14
  5. Step 5: Solve for x
    x = 545,894,019.14/15,900.38
  6. Step 6: Final answer
    x = 34,332.15

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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.