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Finding the Third Proportional to 25,308 and 38,040

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Solution

The third proportional to 25,308 and 38,040 is: 57,177.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,308 : 38,040 = 38,040 : x
  2. Step 2: Convert to fraction form
    25,308/38,040 = 38,040/x
  3. Step 3: Cross multiply
    25,308x = 38,040 × 38,040
  4. Step 4: Simplify right side
    25,308x = 1,447,041,600
  5. Step 5: Solve for x
    x = 1,447,041,600/25,308
  6. Step 6: Final answer
    x = 57,177.24

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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.