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Finding the Third Proportional to 13,109.34 and 28,293.47

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Solution

The third proportional to 13,109.34 and 28,293.47 is: 61,064.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,109.34 : 28,293.47 = 28,293.47 : x
  2. Step 2: Convert to fraction form
    13,109.34/28,293.47 = 28,293.47/x
  3. Step 3: Cross multiply
    13,109.34x = 28,293.47 × 28,293.47
  4. Step 4: Simplify right side
    13,109.34x = 800,520,373.91
  5. Step 5: Solve for x
    x = 800,520,373.91/13,109.34
  6. Step 6: Final answer
    x = 61,064.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.