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Finding the Third Proportional to 2,280.19 and 4,924.88

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Solution

The third proportional to 2,280.19 and 4,924.88 is: 10,637.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.19 : 4,924.88 = 4,924.88 : x
  2. Step 2: Convert to fraction form
    2,280.19/4,924.88 = 4,924.88/x
  3. Step 3: Cross multiply
    2,280.19x = 4,924.88 × 4,924.88
  4. Step 4: Simplify right side
    2,280.19x = 24,254,393.77
  5. Step 5: Solve for x
    x = 24,254,393.77/2,280.19
  6. Step 6: Final answer
    x = 10,637.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.