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Finding the Third Proportional to 31,559.63 and 59,838.75

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Solution

The third proportional to 31,559.63 and 59,838.75 is: 113,457.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,559.63 : 59,838.75 = 59,838.75 : x
  2. Step 2: Convert to fraction form
    31,559.63/59,838.75 = 59,838.75/x
  3. Step 3: Cross multiply
    31,559.63x = 59,838.75 × 59,838.75
  4. Step 4: Simplify right side
    31,559.63x = 3,580,676,001.56
  5. Step 5: Solve for x
    x = 3,580,676,001.56/31,559.63
  6. Step 6: Final answer
    x = 113,457.50

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These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.