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Finding the Third Proportional to 6,925.50 and 13,156.17

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Solution

The third proportional to 6,925.50 and 13,156.17 is: 24,992.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,925.50 : 13,156.17 = 13,156.17 : x
  2. Step 2: Convert to fraction form
    6,925.50/13,156.17 = 13,156.17/x
  3. Step 3: Cross multiply
    6,925.50x = 13,156.17 × 13,156.17
  4. Step 4: Simplify right side
    6,925.50x = 173,084,858.40
  5. Step 5: Solve for x
    x = 173,084,858.40/6,925.50
  6. Step 6: Final answer
    x = 24,992.40

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.