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Finding the Third Proportional to 7,025 and 14,915

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Solution

The third proportional to 7,025 and 14,915 is: 31,666.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,025 : 14,915 = 14,915 : x
  2. Step 2: Convert to fraction form
    7,025/14,915 = 14,915/x
  3. Step 3: Cross multiply
    7,025x = 14,915 × 14,915
  4. Step 4: Simplify right side
    7,025x = 222,457,225
  5. Step 5: Solve for x
    x = 222,457,225/7,025
  6. Step 6: Final answer
    x = 31,666.51

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.