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Finding the Third Proportional to 6,707.50 and 14,568.29

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Solution

The third proportional to 6,707.50 and 14,568.29 is: 31,641.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,707.50 : 14,568.29 = 14,568.29 : x
  2. Step 2: Convert to fraction form
    6,707.50/14,568.29 = 14,568.29/x
  3. Step 3: Cross multiply
    6,707.50x = 14,568.29 × 14,568.29
  4. Step 4: Simplify right side
    6,707.50x = 212,235,160.02
  5. Step 5: Solve for x
    x = 212,235,160.02/6,707.50
  6. Step 6: Final answer
    x = 31,641.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.