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Finding the Third Proportional to 7,215.75 and 12,038.25

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Solution

The third proportional to 7,215.75 and 12,038.25 is: 20,083.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,215.75 : 12,038.25 = 12,038.25 : x
  2. Step 2: Convert to fraction form
    7,215.75/12,038.25 = 12,038.25/x
  3. Step 3: Cross multiply
    7,215.75x = 12,038.25 × 12,038.25
  4. Step 4: Simplify right side
    7,215.75x = 144,919,463.06
  5. Step 5: Solve for x
    x = 144,919,463.06/7,215.75
  6. Step 6: Final answer
    x = 20,083.77

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.