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Finding the Third Proportional to 32,043.09 and 74,178.28

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Solution

The third proportional to 32,043.09 and 74,178.28 is: 171,719.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,043.09 : 74,178.28 = 74,178.28 : x
  2. Step 2: Convert to fraction form
    32,043.09/74,178.28 = 74,178.28/x
  3. Step 3: Cross multiply
    32,043.09x = 74,178.28 × 74,178.28
  4. Step 4: Simplify right side
    32,043.09x = 5,502,417,409.20
  5. Step 5: Solve for x
    x = 5,502,417,409.20/32,043.09
  6. Step 6: Final answer
    x = 171,719.29

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.