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Finding the Third Proportional to 6,584 and 9,804

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Solution

The third proportional to 6,584 and 9,804 is: 14,598.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584 : 9,804 = 9,804 : x
  2. Step 2: Convert to fraction form
    6,584/9,804 = 9,804/x
  3. Step 3: Cross multiply
    6,584x = 9,804 × 9,804
  4. Step 4: Simplify right side
    6,584x = 96,118,416
  5. Step 5: Solve for x
    x = 96,118,416/6,584
  6. Step 6: Final answer
    x = 14,598.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.