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Finding the Third Proportional to 33,990.93 and 74,075.13

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Solution

The third proportional to 33,990.93 and 74,075.13 is: 161,429.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,990.93 : 74,075.13 = 74,075.13 : x
  2. Step 2: Convert to fraction form
    33,990.93/74,075.13 = 74,075.13/x
  3. Step 3: Cross multiply
    33,990.93x = 74,075.13 × 74,075.13
  4. Step 4: Simplify right side
    33,990.93x = 5,487,125,301.19
  5. Step 5: Solve for x
    x = 5,487,125,301.19/33,990.93
  6. Step 6: Final answer
    x = 161,429.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.