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Finding the Third Proportional to 921.93 and 1,355.72

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Solution

The third proportional to 921.93 and 1,355.72 is: 1,993.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.93 : 1,355.72 = 1,355.72 : x
  2. Step 2: Convert to fraction form
    921.93/1,355.72 = 1,355.72/x
  3. Step 3: Cross multiply
    921.93x = 1,355.72 × 1,355.72
  4. Step 4: Simplify right side
    921.93x = 1,837,981.27
  5. Step 5: Solve for x
    x = 1,837,981.27/921.93
  6. Step 6: Final answer
    x = 1,993.63

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.