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Finding the Third Proportional to 6,709 and 9,835

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Solution

The third proportional to 6,709 and 9,835 is: 14,417.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709 : 9,835 = 9,835 : x
  2. Step 2: Convert to fraction form
    6,709/9,835 = 9,835/x
  3. Step 3: Cross multiply
    6,709x = 9,835 × 9,835
  4. Step 4: Simplify right side
    6,709x = 96,727,225
  5. Step 5: Solve for x
    x = 96,727,225/6,709
  6. Step 6: Final answer
    x = 14,417.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.