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Finding the Third Proportional to 22,864.75 and 34,358

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Solution

The third proportional to 22,864.75 and 34,358 is: 51,628.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,864.75 : 34,358 = 34,358 : x
  2. Step 2: Convert to fraction form
    22,864.75/34,358 = 34,358/x
  3. Step 3: Cross multiply
    22,864.75x = 34,358 × 34,358
  4. Step 4: Simplify right side
    22,864.75x = 1,180,472,164
  5. Step 5: Solve for x
    x = 1,180,472,164/22,864.75
  6. Step 6: Final answer
    x = 51,628.47

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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.