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Finding the Third Proportional to 1,058.63 and 2,809.97

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Solution

The third proportional to 1,058.63 and 2,809.97 is: 7,458.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.63 : 2,809.97 = 2,809.97 : x
  2. Step 2: Convert to fraction form
    1,058.63/2,809.97 = 2,809.97/x
  3. Step 3: Cross multiply
    1,058.63x = 2,809.97 × 2,809.97
  4. Step 4: Simplify right side
    1,058.63x = 7,895,924.38
  5. Step 5: Solve for x
    x = 7,895,924.38/1,058.63
  6. Step 6: Final answer
    x = 7,458.66

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Why These Related Problems?

These problems maintain the same ratio (2.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.