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Finding the Third Proportional to 9,802 and 21,366.50

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Solution

The third proportional to 9,802 and 21,366.50 is: 46,574.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802 : 21,366.50 = 21,366.50 : x
  2. Step 2: Convert to fraction form
    9,802/21,366.50 = 21,366.50/x
  3. Step 3: Cross multiply
    9,802x = 21,366.50 × 21,366.50
  4. Step 4: Simplify right side
    9,802x = 456,527,322.25
  5. Step 5: Solve for x
    x = 456,527,322.25/9,802
  6. Step 6: Final answer
    x = 46,574.92

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.