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Finding the Third Proportional to 40,321.50 and 64,045.50

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Solution

The third proportional to 40,321.50 and 64,045.50 is: 101,728.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,321.50 : 64,045.50 = 64,045.50 : x
  2. Step 2: Convert to fraction form
    40,321.50/64,045.50 = 64,045.50/x
  3. Step 3: Cross multiply
    40,321.50x = 64,045.50 × 64,045.50
  4. Step 4: Simplify right side
    40,321.50x = 4,101,826,070.25
  5. Step 5: Solve for x
    x = 4,101,826,070.25/40,321.50
  6. Step 6: Final answer
    x = 101,728.01

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.