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Finding the Third Proportional to 1,904.98 and 2,718.88

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Solution

The third proportional to 1,904.98 and 2,718.88 is: 3,880.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,904.98 : 2,718.88 = 2,718.88 : x
  2. Step 2: Convert to fraction form
    1,904.98/2,718.88 = 2,718.88/x
  3. Step 3: Cross multiply
    1,904.98x = 2,718.88 × 2,718.88
  4. Step 4: Simplify right side
    1,904.98x = 7,392,302.51
  5. Step 5: Solve for x
    x = 7,392,302.51/1,904.98
  6. Step 6: Final answer
    x = 3,880.52

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.