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Finding the Third Proportional to 25,293 and 37,119.25

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Solution

The third proportional to 25,293 and 37,119.25 is: 54,475.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,293 : 37,119.25 = 37,119.25 : x
  2. Step 2: Convert to fraction form
    25,293/37,119.25 = 37,119.25/x
  3. Step 3: Cross multiply
    25,293x = 37,119.25 × 37,119.25
  4. Step 4: Simplify right side
    25,293x = 1,377,838,720.56
  5. Step 5: Solve for x
    x = 1,377,838,720.56/25,293
  6. Step 6: Final answer
    x = 54,475.10

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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.