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Finding the Third Proportional to 19,904 and 31,066.50

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Solution

The third proportional to 19,904 and 31,066.50 is: 48,489.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,904 : 31,066.50 = 31,066.50 : x
  2. Step 2: Convert to fraction form
    19,904/31,066.50 = 31,066.50/x
  3. Step 3: Cross multiply
    19,904x = 31,066.50 × 31,066.50
  4. Step 4: Simplify right side
    19,904x = 965,127,422.25
  5. Step 5: Solve for x
    x = 965,127,422.25/19,904
  6. Step 6: Final answer
    x = 48,489.12

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.