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Finding the Third Proportional to 6,024.38 and 9,446.63

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Solution

The third proportional to 6,024.38 and 9,446.63 is: 14,812.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,024.38 : 9,446.63 = 9,446.63 : x
  2. Step 2: Convert to fraction form
    6,024.38/9,446.63 = 9,446.63/x
  3. Step 3: Cross multiply
    6,024.38x = 9,446.63 × 9,446.63
  4. Step 4: Simplify right side
    6,024.38x = 89,238,723.89
  5. Step 5: Solve for x
    x = 89,238,723.89/6,024.38
  6. Step 6: Final answer
    x = 14,812.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.