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Finding the Third Proportional to 10,386 and 16,011

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Solution

The third proportional to 10,386 and 16,011 is: 24,682.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,386 : 16,011 = 16,011 : x
  2. Step 2: Convert to fraction form
    10,386/16,011 = 16,011/x
  3. Step 3: Cross multiply
    10,386x = 16,011 × 16,011
  4. Step 4: Simplify right side
    10,386x = 256,352,121
  5. Step 5: Solve for x
    x = 256,352,121/10,386
  6. Step 6: Final answer
    x = 24,682.47

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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.