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Finding the Third Proportional to 6,689.14 and 14,300.93

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Solution

The third proportional to 6,689.14 and 14,300.93 is: 30,574.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689.14 : 14,300.93 = 14,300.93 : x
  2. Step 2: Convert to fraction form
    6,689.14/14,300.93 = 14,300.93/x
  3. Step 3: Cross multiply
    6,689.14x = 14,300.93 × 14,300.93
  4. Step 4: Simplify right side
    6,689.14x = 204,516,589.93
  5. Step 5: Solve for x
    x = 204,516,589.93/6,689.14
  6. Step 6: Final answer
    x = 30,574.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.