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Finding the Third Proportional to 29,842.50 and 41,833.50

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Solution

The third proportional to 29,842.50 and 41,833.50 is: 58,642.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,842.50 : 41,833.50 = 41,833.50 : x
  2. Step 2: Convert to fraction form
    29,842.50/41,833.50 = 41,833.50/x
  3. Step 3: Cross multiply
    29,842.50x = 41,833.50 × 41,833.50
  4. Step 4: Simplify right side
    29,842.50x = 1,750,041,722.25
  5. Step 5: Solve for x
    x = 1,750,041,722.25/29,842.50
  6. Step 6: Final answer
    x = 58,642.60

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.