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Finding the Third Proportional to 5,612.50 and 12,207.50

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Solution

The third proportional to 5,612.50 and 12,207.50 is: 26,551.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,612.50 : 12,207.50 = 12,207.50 : x
  2. Step 2: Convert to fraction form
    5,612.50/12,207.50 = 12,207.50/x
  3. Step 3: Cross multiply
    5,612.50x = 12,207.50 × 12,207.50
  4. Step 4: Simplify right side
    5,612.50x = 149,023,056.25
  5. Step 5: Solve for x
    x = 149,023,056.25/5,612.50
  6. Step 6: Final answer
    x = 26,551.99

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.