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Finding the Third Proportional to 13,400 and 23,776

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Solution

The third proportional to 13,400 and 23,776 is: 42,186.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,400 : 23,776 = 23,776 : x
  2. Step 2: Convert to fraction form
    13,400/23,776 = 23,776/x
  3. Step 3: Cross multiply
    13,400x = 23,776 × 23,776
  4. Step 4: Simplify right side
    13,400x = 565,298,176
  5. Step 5: Solve for x
    x = 565,298,176/13,400
  6. Step 6: Final answer
    x = 42,186.43

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.