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Finding the Third Proportional to 7,392 and 14,410.50

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Solution

The third proportional to 7,392 and 14,410.50 is: 28,092.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,392 : 14,410.50 = 14,410.50 : x
  2. Step 2: Convert to fraction form
    7,392/14,410.50 = 14,410.50/x
  3. Step 3: Cross multiply
    7,392x = 14,410.50 × 14,410.50
  4. Step 4: Simplify right side
    7,392x = 207,662,510.25
  5. Step 5: Solve for x
    x = 207,662,510.25/7,392
  6. Step 6: Final answer
    x = 28,092.87

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.