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Finding the Third Proportional to 6,458 and 10,276

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Solution

The third proportional to 6,458 and 10,276 is: 16,351.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458 : 10,276 = 10,276 : x
  2. Step 2: Convert to fraction form
    6,458/10,276 = 10,276/x
  3. Step 3: Cross multiply
    6,458x = 10,276 × 10,276
  4. Step 4: Simplify right side
    6,458x = 105,596,176
  5. Step 5: Solve for x
    x = 105,596,176/6,458
  6. Step 6: Final answer
    x = 16,351.22

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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.