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Finding the Third Proportional to 26,102 and 37,209

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Solution

The third proportional to 26,102 and 37,209 is: 53,042.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,102 : 37,209 = 37,209 : x
  2. Step 2: Convert to fraction form
    26,102/37,209 = 37,209/x
  3. Step 3: Cross multiply
    26,102x = 37,209 × 37,209
  4. Step 4: Simplify right side
    26,102x = 1,384,509,681
  5. Step 5: Solve for x
    x = 1,384,509,681/26,102
  6. Step 6: Final answer
    x = 53,042.28

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.