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Finding the Third Proportional to 20,647.41 and 32,812.59

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Solution

The third proportional to 20,647.41 and 32,812.59 is: 52,145.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,647.41 : 32,812.59 = 32,812.59 : x
  2. Step 2: Convert to fraction form
    20,647.41/32,812.59 = 32,812.59/x
  3. Step 3: Cross multiply
    20,647.41x = 32,812.59 × 32,812.59
  4. Step 4: Simplify right side
    20,647.41x = 1,076,666,308.60
  5. Step 5: Solve for x
    x = 1,076,666,308.60/20,647.41
  6. Step 6: Final answer
    x = 52,145.35

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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.