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Finding the Third Proportional to 39,607.50 and 85,452

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Solution

The third proportional to 39,607.50 and 85,452 is: 184,360.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,607.50 : 85,452 = 85,452 : x
  2. Step 2: Convert to fraction form
    39,607.50/85,452 = 85,452/x
  3. Step 3: Cross multiply
    39,607.50x = 85,452 × 85,452
  4. Step 4: Simplify right side
    39,607.50x = 7,302,044,304
  5. Step 5: Solve for x
    x = 7,302,044,304/39,607.50
  6. Step 6: Final answer
    x = 184,360.14

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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.