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Finding the Third Proportional to 7,564.13 and 12,013.88

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Solution

The third proportional to 7,564.13 and 12,013.88 is: 19,081.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.13 : 12,013.88 = 12,013.88 : x
  2. Step 2: Convert to fraction form
    7,564.13/12,013.88 = 12,013.88/x
  3. Step 3: Cross multiply
    7,564.13x = 12,013.88 × 12,013.88
  4. Step 4: Simplify right side
    7,564.13x = 144,333,192.52
  5. Step 5: Solve for x
    x = 144,333,192.52/7,564.13
  6. Step 6: Final answer
    x = 19,081.28

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.