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Finding the Third Proportional to 9,268.49 and 21,870.32

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Solution

The third proportional to 9,268.49 and 21,870.32 is: 51,606.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,268.49 : 21,870.32 = 21,870.32 : x
  2. Step 2: Convert to fraction form
    9,268.49/21,870.32 = 21,870.32/x
  3. Step 3: Cross multiply
    9,268.49x = 21,870.32 × 21,870.32
  4. Step 4: Simplify right side
    9,268.49x = 478,310,739.71
  5. Step 5: Solve for x
    x = 478,310,739.71/9,268.49
  6. Step 6: Final answer
    x = 51,606.12

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.