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Finding the Third Proportional to 6,410 and 15,514

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Solution

The third proportional to 6,410 and 15,514 is: 37,548.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410 : 15,514 = 15,514 : x
  2. Step 2: Convert to fraction form
    6,410/15,514 = 15,514/x
  3. Step 3: Cross multiply
    6,410x = 15,514 × 15,514
  4. Step 4: Simplify right side
    6,410x = 240,684,196
  5. Step 5: Solve for x
    x = 240,684,196/6,410
  6. Step 6: Final answer
    x = 37,548.24

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.