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Finding the Third Proportional to 32,407.88 and 49,266.94

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Solution

The third proportional to 32,407.88 and 49,266.94 is: 74,896.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,407.88 : 49,266.94 = 49,266.94 : x
  2. Step 2: Convert to fraction form
    32,407.88/49,266.94 = 49,266.94/x
  3. Step 3: Cross multiply
    32,407.88x = 49,266.94 × 49,266.94
  4. Step 4: Simplify right side
    32,407.88x = 2,427,231,130.63
  5. Step 5: Solve for x
    x = 2,427,231,130.63/32,407.88
  6. Step 6: Final answer
    x = 74,896.34

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.