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Finding the Third Proportional to 34,063.50 and 56,291.25

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Solution

The third proportional to 34,063.50 and 56,291.25 is: 93,023.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,063.50 : 56,291.25 = 56,291.25 : x
  2. Step 2: Convert to fraction form
    34,063.50/56,291.25 = 56,291.25/x
  3. Step 3: Cross multiply
    34,063.50x = 56,291.25 × 56,291.25
  4. Step 4: Simplify right side
    34,063.50x = 3,168,704,826.56
  5. Step 5: Solve for x
    x = 3,168,704,826.56/34,063.50
  6. Step 6: Final answer
    x = 93,023.47

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.