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Finding the Third Proportional to 39,774.75 and 85,773

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Solution

The third proportional to 39,774.75 and 85,773 is: 184,966.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,774.75 : 85,773 = 85,773 : x
  2. Step 2: Convert to fraction form
    39,774.75/85,773 = 85,773/x
  3. Step 3: Cross multiply
    39,774.75x = 85,773 × 85,773
  4. Step 4: Simplify right side
    39,774.75x = 7,357,007,529
  5. Step 5: Solve for x
    x = 7,357,007,529/39,774.75
  6. Step 6: Final answer
    x = 184,966.78

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Why These Related Problems?

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