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Finding the Third Proportional to 40,435.88 and 57,901.50

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Solution

The third proportional to 40,435.88 and 57,901.50 is: 82,911.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,435.88 : 57,901.50 = 57,901.50 : x
  2. Step 2: Convert to fraction form
    40,435.88/57,901.50 = 57,901.50/x
  3. Step 3: Cross multiply
    40,435.88x = 57,901.50 × 57,901.50
  4. Step 4: Simplify right side
    40,435.88x = 3,352,583,702.25
  5. Step 5: Solve for x
    x = 3,352,583,702.25/40,435.88
  6. Step 6: Final answer
    x = 82,911.12

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.