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Finding the Third Proportional to 7,893 and 18,994.50

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Solution

The third proportional to 7,893 and 18,994.50 is: 45,710.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,893 : 18,994.50 = 18,994.50 : x
  2. Step 2: Convert to fraction form
    7,893/18,994.50 = 18,994.50/x
  3. Step 3: Cross multiply
    7,893x = 18,994.50 × 18,994.50
  4. Step 4: Simplify right side
    7,893x = 360,791,030.25
  5. Step 5: Solve for x
    x = 360,791,030.25/7,893
  6. Step 6: Final answer
    x = 45,710.25

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.