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Finding the Third Proportional to 1,473 and 2,351.50

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Solution

The third proportional to 1,473 and 2,351.50 is: 3,753.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473 : 2,351.50 = 2,351.50 : x
  2. Step 2: Convert to fraction form
    1,473/2,351.50 = 2,351.50/x
  3. Step 3: Cross multiply
    1,473x = 2,351.50 × 2,351.50
  4. Step 4: Simplify right side
    1,473x = 5,529,552.25
  5. Step 5: Solve for x
    x = 5,529,552.25/1,473
  6. Step 6: Final answer
    x = 3,753.94

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.