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Finding the Third Proportional to 2,387.63 and 5,236.13

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Solution

The third proportional to 2,387.63 and 5,236.13 is: 11,482.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387.63 : 5,236.13 = 5,236.13 : x
  2. Step 2: Convert to fraction form
    2,387.63/5,236.13 = 5,236.13/x
  3. Step 3: Cross multiply
    2,387.63x = 5,236.13 × 5,236.13
  4. Step 4: Simplify right side
    2,387.63x = 27,417,005.02
  5. Step 5: Solve for x
    x = 27,417,005.02/2,387.63
  6. Step 6: Final answer
    x = 11,482.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.