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Finding the Third Proportional to 18,265 and 26,821.50

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Solution

The third proportional to 18,265 and 26,821.50 is: 39,386.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,265 : 26,821.50 = 26,821.50 : x
  2. Step 2: Convert to fraction form
    18,265/26,821.50 = 26,821.50/x
  3. Step 3: Cross multiply
    18,265x = 26,821.50 × 26,821.50
  4. Step 4: Simplify right side
    18,265x = 719,392,862.25
  5. Step 5: Solve for x
    x = 719,392,862.25/18,265
  6. Step 6: Final answer
    x = 39,386.41

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