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Finding the Third Proportional to 9,549.56 and 19,357.31

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Solution

The third proportional to 9,549.56 and 19,357.31 is: 39,237.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,549.56 : 19,357.31 = 19,357.31 : x
  2. Step 2: Convert to fraction form
    9,549.56/19,357.31 = 19,357.31/x
  3. Step 3: Cross multiply
    9,549.56x = 19,357.31 × 19,357.31
  4. Step 4: Simplify right side
    9,549.56x = 374,705,547.22
  5. Step 5: Solve for x
    x = 374,705,547.22/9,549.56
  6. Step 6: Final answer
    x = 39,237.98

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.