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Finding the Third Proportional to 40,726.13 and 92,802.38

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Solution

The third proportional to 40,726.13 and 92,802.38 is: 211,468.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,726.13 : 92,802.38 = 92,802.38 : x
  2. Step 2: Convert to fraction form
    40,726.13/92,802.38 = 92,802.38/x
  3. Step 3: Cross multiply
    40,726.13x = 92,802.38 × 92,802.38
  4. Step 4: Simplify right side
    40,726.13x = 8,612,280,805.64
  5. Step 5: Solve for x
    x = 8,612,280,805.64/40,726.13
  6. Step 6: Final answer
    x = 211,468.21

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.