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Finding the Third Proportional to 37,140.19 and 57,533.63

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Solution

The third proportional to 37,140.19 and 57,533.63 is: 89,124.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,140.19 : 57,533.63 = 57,533.63 : x
  2. Step 2: Convert to fraction form
    37,140.19/57,533.63 = 57,533.63/x
  3. Step 3: Cross multiply
    37,140.19x = 57,533.63 × 57,533.63
  4. Step 4: Simplify right side
    37,140.19x = 3,310,118,005.64
  5. Step 5: Solve for x
    x = 3,310,118,005.64/37,140.19
  6. Step 6: Final answer
    x = 89,124.97

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.