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Finding the Third Proportional to 5,825 and 6,365

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Solution

The third proportional to 5,825 and 6,365 is: 6,955.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,825 : 6,365 = 6,365 : x
  2. Step 2: Convert to fraction form
    5,825/6,365 = 6,365/x
  3. Step 3: Cross multiply
    5,825x = 6,365 × 6,365
  4. Step 4: Simplify right side
    5,825x = 40,513,225
  5. Step 5: Solve for x
    x = 40,513,225/5,825
  6. Step 6: Final answer
    x = 6,955.06

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.