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Finding the Third Proportional to 33,961.31 and 74,483.63

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Solution

The third proportional to 33,961.31 and 74,483.63 is: 163,356.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,961.31 : 74,483.63 = 74,483.63 : x
  2. Step 2: Convert to fraction form
    33,961.31/74,483.63 = 74,483.63/x
  3. Step 3: Cross multiply
    33,961.31x = 74,483.63 × 74,483.63
  4. Step 4: Simplify right side
    33,961.31x = 5,547,810,393.14
  5. Step 5: Solve for x
    x = 5,547,810,393.14/33,961.31
  6. Step 6: Final answer
    x = 163,356.77

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.