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Finding the Third Proportional to 9,690.25 and 20,929.50

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Solution

The third proportional to 9,690.25 and 20,929.50 is: 45,204.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,690.25 : 20,929.50 = 20,929.50 : x
  2. Step 2: Convert to fraction form
    9,690.25/20,929.50 = 20,929.50/x
  3. Step 3: Cross multiply
    9,690.25x = 20,929.50 × 20,929.50
  4. Step 4: Simplify right side
    9,690.25x = 438,043,970.25
  5. Step 5: Solve for x
    x = 438,043,970.25/9,690.25
  6. Step 6: Final answer
    x = 45,204.61

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.