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Finding the Third Proportional to 13,034 and 28,276

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Solution

The third proportional to 13,034 and 28,276 is: 61,342.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,034 : 28,276 = 28,276 : x
  2. Step 2: Convert to fraction form
    13,034/28,276 = 28,276/x
  3. Step 3: Cross multiply
    13,034x = 28,276 × 28,276
  4. Step 4: Simplify right side
    13,034x = 799,532,176
  5. Step 5: Solve for x
    x = 799,532,176/13,034
  6. Step 6: Final answer
    x = 61,342.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.