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Finding the Third Proportional to 1,577.81 and 3,623.91

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Solution

The third proportional to 1,577.81 and 3,623.91 is: 8,323.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.81 : 3,623.91 = 3,623.91 : x
  2. Step 2: Convert to fraction form
    1,577.81/3,623.91 = 3,623.91/x
  3. Step 3: Cross multiply
    1,577.81x = 3,623.91 × 3,623.91
  4. Step 4: Simplify right side
    1,577.81x = 13,132,696.51
  5. Step 5: Solve for x
    x = 13,132,696.51/1,577.81
  6. Step 6: Final answer
    x = 8,323.36

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.