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Finding the Third Proportional to 13,647.38 and 28,934.81

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Solution

The third proportional to 13,647.38 and 28,934.81 is: 61,346.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,647.38 : 28,934.81 = 28,934.81 : x
  2. Step 2: Convert to fraction form
    13,647.38/28,934.81 = 28,934.81/x
  3. Step 3: Cross multiply
    13,647.38x = 28,934.81 × 28,934.81
  4. Step 4: Simplify right side
    13,647.38x = 837,223,374.41
  5. Step 5: Solve for x
    x = 837,223,374.41/13,647.38
  6. Step 6: Final answer
    x = 61,346.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.