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Finding the Third Proportional to 7,000.50 and 12,957

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Solution

The third proportional to 7,000.50 and 12,957 is: 23,981.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,000.50 : 12,957 = 12,957 : x
  2. Step 2: Convert to fraction form
    7,000.50/12,957 = 12,957/x
  3. Step 3: Cross multiply
    7,000.50x = 12,957 × 12,957
  4. Step 4: Simplify right side
    7,000.50x = 167,883,849
  5. Step 5: Solve for x
    x = 167,883,849/7,000.50
  6. Step 6: Final answer
    x = 23,981.69

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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.