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Finding the Third Proportional to 40,970.25 and 61,832.25

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Solution

The third proportional to 40,970.25 and 61,832.25 is: 93,317.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,970.25 : 61,832.25 = 61,832.25 : x
  2. Step 2: Convert to fraction form
    40,970.25/61,832.25 = 61,832.25/x
  3. Step 3: Cross multiply
    40,970.25x = 61,832.25 × 61,832.25
  4. Step 4: Simplify right side
    40,970.25x = 3,823,227,140.06
  5. Step 5: Solve for x
    x = 3,823,227,140.06/40,970.25
  6. Step 6: Final answer
    x = 93,317.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.