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Finding the Third Proportional to 6,309.56 and 9,898.45

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Solution

The third proportional to 6,309.56 and 9,898.45 is: 15,528.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.56 : 9,898.45 = 9,898.45 : x
  2. Step 2: Convert to fraction form
    6,309.56/9,898.45 = 9,898.45/x
  3. Step 3: Cross multiply
    6,309.56x = 9,898.45 × 9,898.45
  4. Step 4: Simplify right side
    6,309.56x = 97,979,374.27
  5. Step 5: Solve for x
    x = 97,979,374.27/6,309.56
  6. Step 6: Final answer
    x = 15,528.71

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.