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Finding the Third Proportional to 21,265.88 and 31,282.88

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Solution

The third proportional to 21,265.88 and 31,282.88 is: 46,018.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,265.88 : 31,282.88 = 31,282.88 : x
  2. Step 2: Convert to fraction form
    21,265.88/31,282.88 = 31,282.88/x
  3. Step 3: Cross multiply
    21,265.88x = 31,282.88 × 31,282.88
  4. Step 4: Simplify right side
    21,265.88x = 978,618,268.27
  5. Step 5: Solve for x
    x = 978,618,268.27/21,265.88
  6. Step 6: Final answer
    x = 46,018.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.