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Finding the Third Proportional to 3,156.19 and 4,421.81

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Solution

The third proportional to 3,156.19 and 4,421.81 is: 6,194.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156.19 : 4,421.81 = 4,421.81 : x
  2. Step 2: Convert to fraction form
    3,156.19/4,421.81 = 4,421.81/x
  3. Step 3: Cross multiply
    3,156.19x = 4,421.81 × 4,421.81
  4. Step 4: Simplify right side
    3,156.19x = 19,552,425.79
  5. Step 5: Solve for x
    x = 19,552,425.79/3,156.19
  6. Step 6: Final answer
    x = 6,194.95

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.