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Finding the Third Proportional to 6,566.06 and 9,857.53

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Solution

The third proportional to 6,566.06 and 9,857.53 is: 14,798.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,566.06 : 9,857.53 = 9,857.53 : x
  2. Step 2: Convert to fraction form
    6,566.06/9,857.53 = 9,857.53/x
  3. Step 3: Cross multiply
    6,566.06x = 9,857.53 × 9,857.53
  4. Step 4: Simplify right side
    6,566.06x = 97,170,922.34
  5. Step 5: Solve for x
    x = 97,170,922.34/6,566.06
  6. Step 6: Final answer
    x = 14,798.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.