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Finding the Third Proportional to 5,567.63 and 12,013.88

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Solution

The third proportional to 5,567.63 and 12,013.88 is: 25,923.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,567.63 : 12,013.88 = 12,013.88 : x
  2. Step 2: Convert to fraction form
    5,567.63/12,013.88 = 12,013.88/x
  3. Step 3: Cross multiply
    5,567.63x = 12,013.88 × 12,013.88
  4. Step 4: Simplify right side
    5,567.63x = 144,333,192.52
  5. Step 5: Solve for x
    x = 144,333,192.52/5,567.63
  6. Step 6: Final answer
    x = 25,923.66

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.