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Finding the Third Proportional to 1,566.84 and 2,244.59

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Solution

The third proportional to 1,566.84 and 2,244.59 is: 3,215.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.84 : 2,244.59 = 2,244.59 : x
  2. Step 2: Convert to fraction form
    1,566.84/2,244.59 = 2,244.59/x
  3. Step 3: Cross multiply
    1,566.84x = 2,244.59 × 2,244.59
  4. Step 4: Simplify right side
    1,566.84x = 5,038,166.03
  5. Step 5: Solve for x
    x = 5,038,166.03/1,566.84
  6. Step 6: Final answer
    x = 3,215.49

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.