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Finding the Third Proportional to 7,025 and 7,565

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Solution

The third proportional to 7,025 and 7,565 is: 8,146.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,025 : 7,565 = 7,565 : x
  2. Step 2: Convert to fraction form
    7,025/7,565 = 7,565/x
  3. Step 3: Cross multiply
    7,025x = 7,565 × 7,565
  4. Step 4: Simplify right side
    7,025x = 57,229,225
  5. Step 5: Solve for x
    x = 57,229,225/7,025
  6. Step 6: Final answer
    x = 8,146.51

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.