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Finding the Third Proportional to 2,597.06 and 4,886.44

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Solution

The third proportional to 2,597.06 and 4,886.44 is: 9,193.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.06 : 4,886.44 = 4,886.44 : x
  2. Step 2: Convert to fraction form
    2,597.06/4,886.44 = 4,886.44/x
  3. Step 3: Cross multiply
    2,597.06x = 4,886.44 × 4,886.44
  4. Step 4: Simplify right side
    2,597.06x = 23,877,271.44
  5. Step 5: Solve for x
    x = 23,877,271.44/2,597.06
  6. Step 6: Final answer
    x = 9,193.95

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.