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Finding the Third Proportional to 2,312.94 and 5,015.88

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Solution

The third proportional to 2,312.94 and 5,015.88 is: 10,877.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.94 : 5,015.88 = 5,015.88 : x
  2. Step 2: Convert to fraction form
    2,312.94/5,015.88 = 5,015.88/x
  3. Step 3: Cross multiply
    2,312.94x = 5,015.88 × 5,015.88
  4. Step 4: Simplify right side
    2,312.94x = 25,159,002.02
  5. Step 5: Solve for x
    x = 25,159,002.02/2,312.94
  6. Step 6: Final answer
    x = 10,877.51

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Why These Related Problems?

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