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Finding the Third Proportional to 4,324 and 10,038

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Solution

The third proportional to 4,324 and 10,038 is: 23,302.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,324 : 10,038 = 10,038 : x
  2. Step 2: Convert to fraction form
    4,324/10,038 = 10,038/x
  3. Step 3: Cross multiply
    4,324x = 10,038 × 10,038
  4. Step 4: Simplify right side
    4,324x = 100,761,444
  5. Step 5: Solve for x
    x = 100,761,444/4,324
  6. Step 6: Final answer
    x = 23,302.83

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1.5x scale

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.