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Finding the Third Proportional to 7,985 and 12,088.50

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Solution

The third proportional to 7,985 and 12,088.50 is: 18,300.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,985 : 12,088.50 = 12,088.50 : x
  2. Step 2: Convert to fraction form
    7,985/12,088.50 = 12,088.50/x
  3. Step 3: Cross multiply
    7,985x = 12,088.50 × 12,088.50
  4. Step 4: Simplify right side
    7,985x = 146,131,832.25
  5. Step 5: Solve for x
    x = 146,131,832.25/7,985
  6. Step 6: Final answer
    x = 18,300.79

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.