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Finding the Third Proportional to 25,442 and 37,426

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Solution

The third proportional to 25,442 and 37,426 is: 55,054.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,442 : 37,426 = 37,426 : x
  2. Step 2: Convert to fraction form
    25,442/37,426 = 37,426/x
  3. Step 3: Cross multiply
    25,442x = 37,426 × 37,426
  4. Step 4: Simplify right side
    25,442x = 1,400,705,476
  5. Step 5: Solve for x
    x = 1,400,705,476/25,442
  6. Step 6: Final answer
    x = 55,054.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.