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Finding the Third Proportional to 19,387.13 and 40,214.25

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Solution

The third proportional to 19,387.13 and 40,214.25 is: 83,415.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,387.13 : 40,214.25 = 40,214.25 : x
  2. Step 2: Convert to fraction form
    19,387.13/40,214.25 = 40,214.25/x
  3. Step 3: Cross multiply
    19,387.13x = 40,214.25 × 40,214.25
  4. Step 4: Simplify right side
    19,387.13x = 1,617,185,903.06
  5. Step 5: Solve for x
    x = 1,617,185,903.06/19,387.13
  6. Step 6: Final answer
    x = 83,415.46

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.