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Finding the Third Proportional to 7,710.19 and 17,764.31

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Solution

The third proportional to 7,710.19 and 17,764.31 is: 40,929.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.19 : 17,764.31 = 17,764.31 : x
  2. Step 2: Convert to fraction form
    7,710.19/17,764.31 = 17,764.31/x
  3. Step 3: Cross multiply
    7,710.19x = 17,764.31 × 17,764.31
  4. Step 4: Simplify right side
    7,710.19x = 315,570,798.60
  5. Step 5: Solve for x
    x = 315,570,798.60/7,710.19
  6. Step 6: Final answer
    x = 40,929.07

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.