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Finding the Third Proportional to 4,962.09 and 7,699.22

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Solution

The third proportional to 4,962.09 and 7,699.22 is: 11,946.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,962.09 : 7,699.22 = 7,699.22 : x
  2. Step 2: Convert to fraction form
    4,962.09/7,699.22 = 7,699.22/x
  3. Step 3: Cross multiply
    4,962.09x = 7,699.22 × 7,699.22
  4. Step 4: Simplify right side
    4,962.09x = 59,277,969.36
  5. Step 5: Solve for x
    x = 59,277,969.36/4,962.09
  6. Step 6: Final answer
    x = 11,946.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.