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Finding the Third Proportional to 9,607.50 and 20,669.06

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Solution

The third proportional to 9,607.50 and 20,669.06 is: 44,466.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,607.50 : 20,669.06 = 20,669.06 : x
  2. Step 2: Convert to fraction form
    9,607.50/20,669.06 = 20,669.06/x
  3. Step 3: Cross multiply
    9,607.50x = 20,669.06 × 20,669.06
  4. Step 4: Simplify right side
    9,607.50x = 427,210,144.63
  5. Step 5: Solve for x
    x = 427,210,144.63/9,607.50
  6. Step 6: Final answer
    x = 44,466.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.