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Finding the Third Proportional to 23,210 and 35,359

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Solution

The third proportional to 23,210 and 35,359 is: 53,867.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,210 : 35,359 = 35,359 : x
  2. Step 2: Convert to fraction form
    23,210/35,359 = 35,359/x
  3. Step 3: Cross multiply
    23,210x = 35,359 × 35,359
  4. Step 4: Simplify right side
    23,210x = 1,250,258,881
  5. Step 5: Solve for x
    x = 1,250,258,881/23,210
  6. Step 6: Final answer
    x = 53,867.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.