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Finding the Third Proportional to 20,486.04 and 32,702.48

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Solution

The third proportional to 20,486.04 and 32,702.48 is: 52,203.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,486.04 : 32,702.48 = 32,702.48 : x
  2. Step 2: Convert to fraction form
    20,486.04/32,702.48 = 32,702.48/x
  3. Step 3: Cross multiply
    20,486.04x = 32,702.48 × 32,702.48
  4. Step 4: Simplify right side
    20,486.04x = 1,069,452,484.30
  5. Step 5: Solve for x
    x = 1,069,452,484.30/20,486.04
  6. Step 6: Final answer
    x = 52,203.97

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.