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Finding the Third Proportional to 25,555 and 38,765

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Solution

The third proportional to 25,555 and 38,765 is: 58,803.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,555 : 38,765 = 38,765 : x
  2. Step 2: Convert to fraction form
    25,555/38,765 = 38,765/x
  3. Step 3: Cross multiply
    25,555x = 38,765 × 38,765
  4. Step 4: Simplify right side
    25,555x = 1,502,725,225
  5. Step 5: Solve for x
    x = 1,502,725,225/25,555
  6. Step 6: Final answer
    x = 58,803.57

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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.