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Finding the Third Proportional to 7,883.58 and 12,053.18

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Solution

The third proportional to 7,883.58 and 12,053.18 is: 18,428.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,883.58 : 12,053.18 = 12,053.18 : x
  2. Step 2: Convert to fraction form
    7,883.58/12,053.18 = 12,053.18/x
  3. Step 3: Cross multiply
    7,883.58x = 12,053.18 × 12,053.18
  4. Step 4: Simplify right side
    7,883.58x = 145,279,140.58
  5. Step 5: Solve for x
    x = 145,279,140.58/7,883.58
  6. Step 6: Final answer
    x = 18,428.07

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.