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Finding the Third Proportional to 9,976 and 15,316

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Solution

The third proportional to 9,976 and 15,316 is: 23,514.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,976 : 15,316 = 15,316 : x
  2. Step 2: Convert to fraction form
    9,976/15,316 = 15,316/x
  3. Step 3: Cross multiply
    9,976x = 15,316 × 15,316
  4. Step 4: Simplify right side
    9,976x = 234,579,856
  5. Step 5: Solve for x
    x = 234,579,856/9,976
  6. Step 6: Final answer
    x = 23,514.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.