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Finding the Third Proportional to 7,690.50 and 16,152.75

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Solution

The third proportional to 7,690.50 and 16,152.75 is: 33,926.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,690.50 : 16,152.75 = 16,152.75 : x
  2. Step 2: Convert to fraction form
    7,690.50/16,152.75 = 16,152.75/x
  3. Step 3: Cross multiply
    7,690.50x = 16,152.75 × 16,152.75
  4. Step 4: Simplify right side
    7,690.50x = 260,911,332.56
  5. Step 5: Solve for x
    x = 260,911,332.56/7,690.50
  6. Step 6: Final answer
    x = 33,926.45

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.