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Finding the Third Proportional to 2,598.19 and 5,574.94

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Solution

The third proportional to 2,598.19 and 5,574.94 is: 11,962.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.19 : 5,574.94 = 5,574.94 : x
  2. Step 2: Convert to fraction form
    2,598.19/5,574.94 = 5,574.94/x
  3. Step 3: Cross multiply
    2,598.19x = 5,574.94 × 5,574.94
  4. Step 4: Simplify right side
    2,598.19x = 31,079,928.13
  5. Step 5: Solve for x
    x = 31,079,928.13/2,598.19
  6. Step 6: Final answer
    x = 11,962.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.