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Finding the Third Proportional to 14,548.68 and 29,709.60

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Solution

The third proportional to 14,548.68 and 29,709.60 is: 60,669.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,548.68 : 29,709.60 = 29,709.60 : x
  2. Step 2: Convert to fraction form
    14,548.68/29,709.60 = 29,709.60/x
  3. Step 3: Cross multiply
    14,548.68x = 29,709.60 × 29,709.60
  4. Step 4: Simplify right side
    14,548.68x = 882,660,192.90
  5. Step 5: Solve for x
    x = 882,660,192.90/14,548.68
  6. Step 6: Final answer
    x = 60,669.45

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.