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Finding the Third Proportional to 9,699.75 and 18,349.03

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Solution

The third proportional to 9,699.75 and 18,349.03 is: 34,710.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699.75 : 18,349.03 = 18,349.03 : x
  2. Step 2: Convert to fraction form
    9,699.75/18,349.03 = 18,349.03/x
  3. Step 3: Cross multiply
    9,699.75x = 18,349.03 × 18,349.03
  4. Step 4: Simplify right side
    9,699.75x = 336,686,947.81
  5. Step 5: Solve for x
    x = 336,686,947.81/9,699.75
  6. Step 6: Final answer
    x = 34,710.89

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.