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Finding the Third Proportional to 6,804 and 9,989.58

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Solution

The third proportional to 6,804 and 9,989.58 is: 14,666.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,804 : 9,989.58 = 9,989.58 : x
  2. Step 2: Convert to fraction form
    6,804/9,989.58 = 9,989.58/x
  3. Step 3: Cross multiply
    6,804x = 9,989.58 × 9,989.58
  4. Step 4: Simplify right side
    6,804x = 99,791,671.12
  5. Step 5: Solve for x
    x = 99,791,671.12/6,804
  6. Step 6: Final answer
    x = 14,666.62

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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.