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Finding the Third Proportional to 61,892.44 and 83,578.50

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Solution

The third proportional to 61,892.44 and 83,578.50 is: 112,862.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,892.44 : 83,578.50 = 83,578.50 : x
  2. Step 2: Convert to fraction form
    61,892.44/83,578.50 = 83,578.50/x
  3. Step 3: Cross multiply
    61,892.44x = 83,578.50 × 83,578.50
  4. Step 4: Simplify right side
    61,892.44x = 6,985,365,662.25
  5. Step 5: Solve for x
    x = 6,985,365,662.25/61,892.44
  6. Step 6: Final answer
    x = 112,862.99

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.