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Finding the Third Proportional to 7,561.95 and 16,435.72

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Solution

The third proportional to 7,561.95 and 16,435.72 is: 35,722.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,561.95 : 16,435.72 = 16,435.72 : x
  2. Step 2: Convert to fraction form
    7,561.95/16,435.72 = 16,435.72/x
  3. Step 3: Cross multiply
    7,561.95x = 16,435.72 × 16,435.72
  4. Step 4: Simplify right side
    7,561.95x = 270,132,979.23
  5. Step 5: Solve for x
    x = 270,132,979.23/7,561.95
  6. Step 6: Final answer
    x = 35,722.66

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.