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Finding the Third Proportional to 37,271.63 and 74,512.50

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Solution

The third proportional to 37,271.63 and 74,512.50 is: 148,963.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,271.63 : 74,512.50 = 74,512.50 : x
  2. Step 2: Convert to fraction form
    37,271.63/74,512.50 = 74,512.50/x
  3. Step 3: Cross multiply
    37,271.63x = 74,512.50 × 74,512.50
  4. Step 4: Simplify right side
    37,271.63x = 5,552,112,656.25
  5. Step 5: Solve for x
    x = 5,552,112,656.25/37,271.63
  6. Step 6: Final answer
    x = 148,963.53

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These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.