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Finding the Third Proportional to 2,047.25 and 4,812.13

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Solution

The third proportional to 2,047.25 and 4,812.13 is: 11,311.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.25 : 4,812.13 = 4,812.13 : x
  2. Step 2: Convert to fraction form
    2,047.25/4,812.13 = 4,812.13/x
  3. Step 3: Cross multiply
    2,047.25x = 4,812.13 × 4,812.13
  4. Step 4: Simplify right side
    2,047.25x = 23,156,547.02
  5. Step 5: Solve for x
    x = 23,156,547.02/2,047.25
  6. Step 6: Final answer
    x = 11,311.05

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.