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Finding the Third Proportional to 39,774.38 and 85,772.63

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Solution

The third proportional to 39,774.38 and 85,772.63 is: 184,966.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,774.38 : 85,772.63 = 85,772.63 : x
  2. Step 2: Convert to fraction form
    39,774.38/85,772.63 = 85,772.63/x
  3. Step 3: Cross multiply
    39,774.38x = 85,772.63 × 85,772.63
  4. Step 4: Simplify right side
    39,774.38x = 7,356,943,199.39
  5. Step 5: Solve for x
    x = 7,356,943,199.39/39,774.38
  6. Step 6: Final answer
    x = 184,966.91

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.