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Finding the Third Proportional to 7,922.81 and 16,210.13

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Solution

The third proportional to 7,922.81 and 16,210.13 is: 33,166.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,922.81 : 16,210.13 = 16,210.13 : x
  2. Step 2: Convert to fraction form
    7,922.81/16,210.13 = 16,210.13/x
  3. Step 3: Cross multiply
    7,922.81x = 16,210.13 × 16,210.13
  4. Step 4: Simplify right side
    7,922.81x = 262,768,152.52
  5. Step 5: Solve for x
    x = 262,768,152.52/7,922.81
  6. Step 6: Final answer
    x = 33,166.02

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.