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Finding the Third Proportional to 26,252.25 and 38,966.25

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Solution

The third proportional to 26,252.25 and 38,966.25 is: 57,837.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,252.25 : 38,966.25 = 38,966.25 : x
  2. Step 2: Convert to fraction form
    26,252.25/38,966.25 = 38,966.25/x
  3. Step 3: Cross multiply
    26,252.25x = 38,966.25 × 38,966.25
  4. Step 4: Simplify right side
    26,252.25x = 1,518,368,639.06
  5. Step 5: Solve for x
    x = 1,518,368,639.06/26,252.25
  6. Step 6: Final answer
    x = 57,837.66

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.