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Finding the Third Proportional to 19,942.88 and 30,875.63

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Solution

The third proportional to 19,942.88 and 30,875.63 is: 47,801.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,942.88 : 30,875.63 = 30,875.63 : x
  2. Step 2: Convert to fraction form
    19,942.88/30,875.63 = 30,875.63/x
  3. Step 3: Cross multiply
    19,942.88x = 30,875.63 × 30,875.63
  4. Step 4: Simplify right side
    19,942.88x = 953,304,219.14
  5. Step 5: Solve for x
    x = 953,304,219.14/19,942.88
  6. Step 6: Final answer
    x = 47,801.74

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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.