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Finding the Third Proportional to 40,362.88 and 55,407.50

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Solution

The third proportional to 40,362.88 and 55,407.50 is: 76,059.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,362.88 : 55,407.50 = 55,407.50 : x
  2. Step 2: Convert to fraction form
    40,362.88/55,407.50 = 55,407.50/x
  3. Step 3: Cross multiply
    40,362.88x = 55,407.50 × 55,407.50
  4. Step 4: Simplify right side
    40,362.88x = 3,069,991,056.25
  5. Step 5: Solve for x
    x = 3,069,991,056.25/40,362.88
  6. Step 6: Final answer
    x = 76,059.77

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.