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Finding the Third Proportional to 7,058.25 and 15,053.63

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Solution

The third proportional to 7,058.25 and 15,053.63 is: 32,105.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,058.25 : 15,053.63 = 15,053.63 : x
  2. Step 2: Convert to fraction form
    7,058.25/15,053.63 = 15,053.63/x
  3. Step 3: Cross multiply
    7,058.25x = 15,053.63 × 15,053.63
  4. Step 4: Simplify right side
    7,058.25x = 226,611,625.64
  5. Step 5: Solve for x
    x = 226,611,625.64/7,058.25
  6. Step 6: Final answer
    x = 32,105.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.