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Finding the Third Proportional to 2,225.53 and 4,807.97

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Solution

The third proportional to 2,225.53 and 4,807.97 is: 10,386.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225.53 : 4,807.97 = 4,807.97 : x
  2. Step 2: Convert to fraction form
    2,225.53/4,807.97 = 4,807.97/x
  3. Step 3: Cross multiply
    2,225.53x = 4,807.97 × 4,807.97
  4. Step 4: Simplify right side
    2,225.53x = 23,116,563.50
  5. Step 5: Solve for x
    x = 23,116,563.50/2,225.53
  6. Step 6: Final answer
    x = 10,386.99

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Why These Related Problems?

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