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Finding the Third Proportional to 6,776.35 and 14,715.62

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Solution

The third proportional to 6,776.35 and 14,715.62 is: 31,956.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,776.35 : 14,715.62 = 14,715.62 : x
  2. Step 2: Convert to fraction form
    6,776.35/14,715.62 = 14,715.62/x
  3. Step 3: Cross multiply
    6,776.35x = 14,715.62 × 14,715.62
  4. Step 4: Simplify right side
    6,776.35x = 216,549,461.06
  5. Step 5: Solve for x
    x = 216,549,461.06/6,776.35
  6. Step 6: Final answer
    x = 31,956.63

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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.