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Finding the Third Proportional to 9,864.28 and 21,368.81

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Solution

The third proportional to 9,864.28 and 21,368.81 is: 46,290.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,864.28 : 21,368.81 = 21,368.81 : x
  2. Step 2: Convert to fraction form
    9,864.28/21,368.81 = 21,368.81/x
  3. Step 3: Cross multiply
    9,864.28x = 21,368.81 × 21,368.81
  4. Step 4: Simplify right side
    9,864.28x = 456,626,147.66
  5. Step 5: Solve for x
    x = 456,626,147.66/9,864.28
  6. Step 6: Final answer
    x = 46,290.87

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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.