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Finding the Third Proportional to 40,322.81 and 57,955.50

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Solution

The third proportional to 40,322.81 and 57,955.50 is: 83,298.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,322.81 : 57,955.50 = 57,955.50 : x
  2. Step 2: Convert to fraction form
    40,322.81/57,955.50 = 57,955.50/x
  3. Step 3: Cross multiply
    40,322.81x = 57,955.50 × 57,955.50
  4. Step 4: Simplify right side
    40,322.81x = 3,358,839,980.25
  5. Step 5: Solve for x
    x = 3,358,839,980.25/40,322.81
  6. Step 6: Final answer
    x = 83,298.75

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.