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Finding the Third Proportional to 20,214.38 and 28,946.13

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Solution

The third proportional to 20,214.38 and 28,946.13 is: 41,449.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,214.38 : 28,946.13 = 28,946.13 : x
  2. Step 2: Convert to fraction form
    20,214.38/28,946.13 = 28,946.13/x
  3. Step 3: Cross multiply
    20,214.38x = 28,946.13 × 28,946.13
  4. Step 4: Simplify right side
    20,214.38x = 837,878,152.52
  5. Step 5: Solve for x
    x = 837,878,152.52/20,214.38
  6. Step 6: Final answer
    x = 41,449.62

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.