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Finding the Third Proportional to 2,606.34 and 3,818.39

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Solution

The third proportional to 2,606.34 and 3,818.39 is: 5,594.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.34 : 3,818.39 = 3,818.39 : x
  2. Step 2: Convert to fraction form
    2,606.34/3,818.39 = 3,818.39/x
  3. Step 3: Cross multiply
    2,606.34x = 3,818.39 × 3,818.39
  4. Step 4: Simplify right side
    2,606.34x = 14,580,106.97
  5. Step 5: Solve for x
    x = 14,580,106.97/2,606.34
  6. Step 6: Final answer
    x = 5,594.08

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.