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Finding the Third Proportional to 1,792.55 and 1,924.17

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Solution

The third proportional to 1,792.55 and 1,924.17 is: 2,065.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,792.55 : 1,924.17 = 1,924.17 : x
  2. Step 2: Convert to fraction form
    1,792.55/1,924.17 = 1,924.17/x
  3. Step 3: Cross multiply
    1,792.55x = 1,924.17 × 1,924.17
  4. Step 4: Simplify right side
    1,792.55x = 3,702,437.40
  5. Step 5: Solve for x
    x = 3,702,437.40/1,792.55
  6. Step 6: Final answer
    x = 2,065.46

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.