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Finding the Third Proportional to 19,854.31 and 30,870.47

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Solution

The third proportional to 19,854.31 and 30,870.47 is: 47,998.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,854.31 : 30,870.47 = 30,870.47 : x
  2. Step 2: Convert to fraction form
    19,854.31/30,870.47 = 30,870.47/x
  3. Step 3: Cross multiply
    19,854.31x = 30,870.47 × 30,870.47
  4. Step 4: Simplify right side
    19,854.31x = 952,985,840.84
  5. Step 5: Solve for x
    x = 952,985,840.84/19,854.31
  6. Step 6: Final answer
    x = 47,998.93

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.