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Finding the Third Proportional to 9,859.50 and 13,304.25

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Solution

The third proportional to 9,859.50 and 13,304.25 is: 17,952.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,859.50 : 13,304.25 = 13,304.25 : x
  2. Step 2: Convert to fraction form
    9,859.50/13,304.25 = 13,304.25/x
  3. Step 3: Cross multiply
    9,859.50x = 13,304.25 × 13,304.25
  4. Step 4: Simplify right side
    9,859.50x = 177,003,068.06
  5. Step 5: Solve for x
    x = 177,003,068.06/9,859.50
  6. Step 6: Final answer
    x = 17,952.54

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.