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Finding the Third Proportional to 6,895.13 and 14,957.16

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Solution

The third proportional to 6,895.13 and 14,957.16 is: 32,445.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,895.13 : 14,957.16 = 14,957.16 : x
  2. Step 2: Convert to fraction form
    6,895.13/14,957.16 = 14,957.16/x
  3. Step 3: Cross multiply
    6,895.13x = 14,957.16 × 14,957.16
  4. Step 4: Simplify right side
    6,895.13x = 223,716,523.09
  5. Step 5: Solve for x
    x = 223,716,523.09/6,895.13
  6. Step 6: Final answer
    x = 32,445.61

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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.