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Finding the Third Proportional to 1,582.88 and 2,386.97

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Solution

The third proportional to 1,582.88 and 2,386.97 is: 3,599.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.88 : 2,386.97 = 2,386.97 : x
  2. Step 2: Convert to fraction form
    1,582.88/2,386.97 = 2,386.97/x
  3. Step 3: Cross multiply
    1,582.88x = 2,386.97 × 2,386.97
  4. Step 4: Simplify right side
    1,582.88x = 5,697,619.81
  5. Step 5: Solve for x
    x = 5,697,619.81/1,582.88
  6. Step 6: Final answer
    x = 3,599.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.