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Finding the Third Proportional to 1,582.66 and 2,365.14

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Solution

The third proportional to 1,582.66 and 2,365.14 is: 3,534.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.66 : 2,365.14 = 2,365.14 : x
  2. Step 2: Convert to fraction form
    1,582.66/2,365.14 = 2,365.14/x
  3. Step 3: Cross multiply
    1,582.66x = 2,365.14 × 2,365.14
  4. Step 4: Simplify right side
    1,582.66x = 5,593,871.70
  5. Step 5: Solve for x
    x = 5,593,871.70/1,582.66
  6. Step 6: Final answer
    x = 3,534.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.