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Finding the Third Proportional to 6,699.59 and 9,848.67

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Solution

The third proportional to 6,699.59 and 9,848.67 is: 14,477.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,699.59 : 9,848.67 = 9,848.67 : x
  2. Step 2: Convert to fraction form
    6,699.59/9,848.67 = 9,848.67/x
  3. Step 3: Cross multiply
    6,699.59x = 9,848.67 × 9,848.67
  4. Step 4: Simplify right side
    6,699.59x = 96,996,337.70
  5. Step 5: Solve for x
    x = 96,996,337.70/6,699.59
  6. Step 6: Final answer
    x = 14,477.96

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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.