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Finding the Third Proportional to 29,256.75 and 61,999.50

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Solution

The third proportional to 29,256.75 and 61,999.50 is: 131,386.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,256.75 : 61,999.50 = 61,999.50 : x
  2. Step 2: Convert to fraction form
    29,256.75/61,999.50 = 61,999.50/x
  3. Step 3: Cross multiply
    29,256.75x = 61,999.50 × 61,999.50
  4. Step 4: Simplify right side
    29,256.75x = 3,843,938,000.25
  5. Step 5: Solve for x
    x = 3,843,938,000.25/29,256.75
  6. Step 6: Final answer
    x = 131,386.36

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.