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Finding the Third Proportional to 7,645 and 8,365

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Solution

The third proportional to 7,645 and 8,365 is: 9,152.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,645 : 8,365 = 8,365 : x
  2. Step 2: Convert to fraction form
    7,645/8,365 = 8,365/x
  3. Step 3: Cross multiply
    7,645x = 8,365 × 8,365
  4. Step 4: Simplify right side
    7,645x = 69,973,225
  5. Step 5: Solve for x
    x = 69,973,225/7,645
  6. Step 6: Final answer
    x = 9,152.81

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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.