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Finding the Third Proportional to 23,216 and 34,875

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Solution

The third proportional to 23,216 and 34,875 is: 52,389.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,216 : 34,875 = 34,875 : x
  2. Step 2: Convert to fraction form
    23,216/34,875 = 34,875/x
  3. Step 3: Cross multiply
    23,216x = 34,875 × 34,875
  4. Step 4: Simplify right side
    23,216x = 1,216,265,625
  5. Step 5: Solve for x
    x = 1,216,265,625/23,216
  6. Step 6: Final answer
    x = 52,389.11

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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.