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Finding the Third Proportional to 43,094.25 and 64,381.50

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Solution

The third proportional to 43,094.25 and 64,381.50 is: 96,184.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,094.25 : 64,381.50 = 64,381.50 : x
  2. Step 2: Convert to fraction form
    43,094.25/64,381.50 = 64,381.50/x
  3. Step 3: Cross multiply
    43,094.25x = 64,381.50 × 64,381.50
  4. Step 4: Simplify right side
    43,094.25x = 4,144,977,542.25
  5. Step 5: Solve for x
    x = 4,144,977,542.25/43,094.25
  6. Step 6: Final answer
    x = 96,184.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.