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Finding the Third Proportional to 27,603.28 and 42,821.16

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Solution

The third proportional to 27,603.28 and 42,821.16 is: 66,428.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,603.28 : 42,821.16 = 42,821.16 : x
  2. Step 2: Convert to fraction form
    27,603.28/42,821.16 = 42,821.16/x
  3. Step 3: Cross multiply
    27,603.28x = 42,821.16 × 42,821.16
  4. Step 4: Simplify right side
    27,603.28x = 1,833,651,422.59
  5. Step 5: Solve for x
    x = 1,833,651,422.59/27,603.28
  6. Step 6: Final answer
    x = 66,428.75

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.