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Finding the Third Proportional to 2,821.08 and 4,607.51

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Solution

The third proportional to 2,821.08 and 4,607.51 is: 7,525.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.08 : 4,607.51 = 4,607.51 : x
  2. Step 2: Convert to fraction form
    2,821.08/4,607.51 = 4,607.51/x
  3. Step 3: Cross multiply
    2,821.08x = 4,607.51 × 4,607.51
  4. Step 4: Simplify right side
    2,821.08x = 21,229,128.24
  5. Step 5: Solve for x
    x = 21,229,128.24/2,821.08
  6. Step 6: Final answer
    x = 7,525.18

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.