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Finding the Third Proportional to 7,785.49 and 12,051.28

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Solution

The third proportional to 7,785.49 and 12,051.28 is: 18,654.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,785.49 : 12,051.28 = 12,051.28 : x
  2. Step 2: Convert to fraction form
    7,785.49/12,051.28 = 12,051.28/x
  3. Step 3: Cross multiply
    7,785.49x = 12,051.28 × 12,051.28
  4. Step 4: Simplify right side
    7,785.49x = 145,233,379.77
  5. Step 5: Solve for x
    x = 145,233,379.77/7,785.49
  6. Step 6: Final answer
    x = 18,654.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.