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Finding the Third Proportional to 23,416 and 35,088

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Solution

The third proportional to 23,416 and 35,088 is: 52,578.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,416 : 35,088 = 35,088 : x
  2. Step 2: Convert to fraction form
    23,416/35,088 = 35,088/x
  3. Step 3: Cross multiply
    23,416x = 35,088 × 35,088
  4. Step 4: Simplify right side
    23,416x = 1,231,167,744
  5. Step 5: Solve for x
    x = 1,231,167,744/23,416
  6. Step 6: Final answer
    x = 52,578.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.