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Finding the Third Proportional to 5,630.77 and 13,051.76

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Solution

The third proportional to 5,630.77 and 13,051.76 is: 30,253.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,630.77 : 13,051.76 = 13,051.76 : x
  2. Step 2: Convert to fraction form
    5,630.77/13,051.76 = 13,051.76/x
  3. Step 3: Cross multiply
    5,630.77x = 13,051.76 × 13,051.76
  4. Step 4: Simplify right side
    5,630.77x = 170,348,382.00
  5. Step 5: Solve for x
    x = 170,348,382.00/5,630.77
  6. Step 6: Final answer
    x = 30,253.15

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.