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Finding the Third Proportional to 12,357.56 and 14,058.56

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Solution

The third proportional to 12,357.56 and 14,058.56 is: 15,993.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,357.56 : 14,058.56 = 14,058.56 : x
  2. Step 2: Convert to fraction form
    12,357.56/14,058.56 = 14,058.56/x
  3. Step 3: Cross multiply
    12,357.56x = 14,058.56 × 14,058.56
  4. Step 4: Simplify right side
    12,357.56x = 197,643,179.57
  5. Step 5: Solve for x
    x = 197,643,179.57/12,357.56
  6. Step 6: Final answer
    x = 15,993.70

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.