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Finding the Third Proportional to 6,526.50 and 13,976.25

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Solution

The third proportional to 6,526.50 and 13,976.25 is: 29,929.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,526.50 : 13,976.25 = 13,976.25 : x
  2. Step 2: Convert to fraction form
    6,526.50/13,976.25 = 13,976.25/x
  3. Step 3: Cross multiply
    6,526.50x = 13,976.25 × 13,976.25
  4. Step 4: Simplify right side
    6,526.50x = 195,335,564.06
  5. Step 5: Solve for x
    x = 195,335,564.06/6,526.50
  6. Step 6: Final answer
    x = 29,929.60

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.