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Finding the Third Proportional to 7,068.94 and 14,865.19

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Solution

The third proportional to 7,068.94 and 14,865.19 is: 31,259.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,068.94 : 14,865.19 = 14,865.19 : x
  2. Step 2: Convert to fraction form
    7,068.94/14,865.19 = 14,865.19/x
  3. Step 3: Cross multiply
    7,068.94x = 14,865.19 × 14,865.19
  4. Step 4: Simplify right side
    7,068.94x = 220,973,799.41
  5. Step 5: Solve for x
    x = 220,973,799.41/7,068.94
  6. Step 6: Final answer
    x = 31,259.83

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.