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Finding the Third Proportional to 6,507 and 9,765

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Solution

The third proportional to 6,507 and 9,765 is: 14,654.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507 : 9,765 = 9,765 : x
  2. Step 2: Convert to fraction form
    6,507/9,765 = 9,765/x
  3. Step 3: Cross multiply
    6,507x = 9,765 × 9,765
  4. Step 4: Simplify right side
    6,507x = 95,355,225
  5. Step 5: Solve for x
    x = 95,355,225/6,507
  6. Step 6: Final answer
    x = 14,654.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.