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Finding the Third Proportional to 32,000.06 and 49,374.56

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Solution

The third proportional to 32,000.06 and 49,374.56 is: 76,182.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,000.06 : 49,374.56 = 49,374.56 : x
  2. Step 2: Convert to fraction form
    32,000.06/49,374.56 = 49,374.56/x
  3. Step 3: Cross multiply
    32,000.06x = 49,374.56 × 49,374.56
  4. Step 4: Simplify right side
    32,000.06x = 2,437,847,422.07
  5. Step 5: Solve for x
    x = 2,437,847,422.07/32,000.06
  6. Step 6: Final answer
    x = 76,182.58

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.