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Finding the Third Proportional to 6,712.50 and 12,435

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Solution

The third proportional to 6,712.50 and 12,435 is: 23,036.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,712.50 : 12,435 = 12,435 : x
  2. Step 2: Convert to fraction form
    6,712.50/12,435 = 12,435/x
  3. Step 3: Cross multiply
    6,712.50x = 12,435 × 12,435
  4. Step 4: Simplify right side
    6,712.50x = 154,629,225
  5. Step 5: Solve for x
    x = 154,629,225/6,712.50
  6. Step 6: Final answer
    x = 23,036.01

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.