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Finding the Third Proportional to 23,915 and 35,023

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Solution

The third proportional to 23,915 and 35,023 is: 51,290.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,915 : 35,023 = 35,023 : x
  2. Step 2: Convert to fraction form
    23,915/35,023 = 35,023/x
  3. Step 3: Cross multiply
    23,915x = 35,023 × 35,023
  4. Step 4: Simplify right side
    23,915x = 1,226,610,529
  5. Step 5: Solve for x
    x = 1,226,610,529/23,915
  6. Step 6: Final answer
    x = 51,290.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.