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Finding the Third Proportional to 12,953.75 and 20,598.38

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Solution

The third proportional to 12,953.75 and 20,598.38 is: 32,754.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,953.75 : 20,598.38 = 20,598.38 : x
  2. Step 2: Convert to fraction form
    12,953.75/20,598.38 = 20,598.38/x
  3. Step 3: Cross multiply
    12,953.75x = 20,598.38 × 20,598.38
  4. Step 4: Simplify right side
    12,953.75x = 424,293,052.64
  5. Step 5: Solve for x
    x = 424,293,052.64/12,953.75
  6. Step 6: Final answer
    x = 32,754.46

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