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Finding the Third Proportional to 10,412 and 13,550

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Solution

The third proportional to 10,412 and 13,550 is: 17,633.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,412 : 13,550 = 13,550 : x
  2. Step 2: Convert to fraction form
    10,412/13,550 = 13,550/x
  3. Step 3: Cross multiply
    10,412x = 13,550 × 13,550
  4. Step 4: Simplify right side
    10,412x = 183,602,500
  5. Step 5: Solve for x
    x = 183,602,500/10,412
  6. Step 6: Final answer
    x = 17,633.74

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.