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Finding the Third Proportional to 13,034 and 28,606

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Solution

The third proportional to 13,034 and 28,606 is: 62,782.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,034 : 28,606 = 28,606 : x
  2. Step 2: Convert to fraction form
    13,034/28,606 = 28,606/x
  3. Step 3: Cross multiply
    13,034x = 28,606 × 28,606
  4. Step 4: Simplify right side
    13,034x = 818,303,236
  5. Step 5: Solve for x
    x = 818,303,236/13,034
  6. Step 6: Final answer
    x = 62,782.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.