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Finding the Third Proportional to 2,590.88 and 4,818.94

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Solution

The third proportional to 2,590.88 and 4,818.94 is: 8,963.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.88 : 4,818.94 = 4,818.94 : x
  2. Step 2: Convert to fraction form
    2,590.88/4,818.94 = 4,818.94/x
  3. Step 3: Cross multiply
    2,590.88x = 4,818.94 × 4,818.94
  4. Step 4: Simplify right side
    2,590.88x = 23,222,158.63
  5. Step 5: Solve for x
    x = 23,222,158.63/2,590.88
  6. Step 6: Final answer
    x = 8,963.06

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.