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Finding the Third Proportional to 3,582.84 and 5,534.02

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Solution

The third proportional to 3,582.84 and 5,534.02 is: 8,547.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,582.84 : 5,534.02 = 5,534.02 : x
  2. Step 2: Convert to fraction form
    3,582.84/5,534.02 = 5,534.02/x
  3. Step 3: Cross multiply
    3,582.84x = 5,534.02 × 5,534.02
  4. Step 4: Simplify right side
    3,582.84x = 30,625,328.94
  5. Step 5: Solve for x
    x = 30,625,328.94/3,582.84
  6. Step 6: Final answer
    x = 8,547.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.