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Finding the Third Proportional to 23,038 and 34,719

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Solution

The third proportional to 23,038 and 34,719 is: 52,322.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,038 : 34,719 = 34,719 : x
  2. Step 2: Convert to fraction form
    23,038/34,719 = 34,719/x
  3. Step 3: Cross multiply
    23,038x = 34,719 × 34,719
  4. Step 4: Simplify right side
    23,038x = 1,205,408,961
  5. Step 5: Solve for x
    x = 1,205,408,961/23,038
  6. Step 6: Final answer
    x = 52,322.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.