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Finding the Third Proportional to 2,597.91 and 3,526.03

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Solution

The third proportional to 2,597.91 and 3,526.03 is: 4,785.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.91 : 3,526.03 = 3,526.03 : x
  2. Step 2: Convert to fraction form
    2,597.91/3,526.03 = 3,526.03/x
  3. Step 3: Cross multiply
    2,597.91x = 3,526.03 × 3,526.03
  4. Step 4: Simplify right side
    2,597.91x = 12,432,896.38
  5. Step 5: Solve for x
    x = 12,432,896.38/2,597.91
  6. Step 6: Final answer
    x = 4,785.74

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.