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Finding the Third Proportional to 29,659 and 40,033.50

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Solution

The third proportional to 29,659 and 40,033.50 is: 54,036.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,659 : 40,033.50 = 40,033.50 : x
  2. Step 2: Convert to fraction form
    29,659/40,033.50 = 40,033.50/x
  3. Step 3: Cross multiply
    29,659x = 40,033.50 × 40,033.50
  4. Step 4: Simplify right side
    29,659x = 1,602,681,122.25
  5. Step 5: Solve for x
    x = 1,602,681,122.25/29,659
  6. Step 6: Final answer
    x = 54,036.92

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.