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Finding the Third Proportional to 15,935 and 25,316

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Solution

The third proportional to 15,935 and 25,316 is: 40,219.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,935 : 25,316 = 25,316 : x
  2. Step 2: Convert to fraction form
    15,935/25,316 = 25,316/x
  3. Step 3: Cross multiply
    15,935x = 25,316 × 25,316
  4. Step 4: Simplify right side
    15,935x = 640,899,856
  5. Step 5: Solve for x
    x = 640,899,856/15,935
  6. Step 6: Final answer
    x = 40,219.63

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.