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Finding the Third Proportional to 4,966.75 and 11,323.50

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Solution

The third proportional to 4,966.75 and 11,323.50 is: 25,816.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966.75 : 11,323.50 = 11,323.50 : x
  2. Step 2: Convert to fraction form
    4,966.75/11,323.50 = 11,323.50/x
  3. Step 3: Cross multiply
    4,966.75x = 11,323.50 × 11,323.50
  4. Step 4: Simplify right side
    4,966.75x = 128,221,652.25
  5. Step 5: Solve for x
    x = 128,221,652.25/4,966.75
  6. Step 6: Final answer
    x = 25,816.01

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These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.