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Finding the Third Proportional to 9,806.06 and 15,600.09

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Solution

The third proportional to 9,806.06 and 15,600.09 is: 24,817.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.06 : 15,600.09 = 15,600.09 : x
  2. Step 2: Convert to fraction form
    9,806.06/15,600.09 = 15,600.09/x
  3. Step 3: Cross multiply
    9,806.06x = 15,600.09 × 15,600.09
  4. Step 4: Simplify right side
    9,806.06x = 243,362,925.01
  5. Step 5: Solve for x
    x = 243,362,925.01/9,806.06
  6. Step 6: Final answer
    x = 24,817.60

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.