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Finding the Third Proportional to 9,807.75 and 21,262.50

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Solution

The third proportional to 9,807.75 and 21,262.50 is: 46,095.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.75 : 21,262.50 = 21,262.50 : x
  2. Step 2: Convert to fraction form
    9,807.75/21,262.50 = 21,262.50/x
  3. Step 3: Cross multiply
    9,807.75x = 21,262.50 × 21,262.50
  4. Step 4: Simplify right side
    9,807.75x = 452,093,906.25
  5. Step 5: Solve for x
    x = 452,093,906.25/9,807.75
  6. Step 6: Final answer
    x = 46,095.58

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.