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Finding the Third Proportional to 19,944 and 30,332.25

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Solution

The third proportional to 19,944 and 30,332.25 is: 46,131.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,944 : 30,332.25 = 30,332.25 : x
  2. Step 2: Convert to fraction form
    19,944/30,332.25 = 30,332.25/x
  3. Step 3: Cross multiply
    19,944x = 30,332.25 × 30,332.25
  4. Step 4: Simplify right side
    19,944x = 920,045,390.06
  5. Step 5: Solve for x
    x = 920,045,390.06/19,944
  6. Step 6: Final answer
    x = 46,131.44

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.