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Finding the Third Proportional to 9,294 and 14,400.75

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Solution

The third proportional to 9,294 and 14,400.75 is: 22,313.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,294 : 14,400.75 = 14,400.75 : x
  2. Step 2: Convert to fraction form
    9,294/14,400.75 = 14,400.75/x
  3. Step 3: Cross multiply
    9,294x = 14,400.75 × 14,400.75
  4. Step 4: Simplify right side
    9,294x = 207,381,600.56
  5. Step 5: Solve for x
    x = 207,381,600.56/9,294
  6. Step 6: Final answer
    x = 22,313.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.