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Finding the Third Proportional to 23,980.50 and 56,011.50

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Solution

The third proportional to 23,980.50 and 56,011.50 is: 130,826.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,980.50 : 56,011.50 = 56,011.50 : x
  2. Step 2: Convert to fraction form
    23,980.50/56,011.50 = 56,011.50/x
  3. Step 3: Cross multiply
    23,980.50x = 56,011.50 × 56,011.50
  4. Step 4: Simplify right side
    23,980.50x = 3,137,288,132.25
  5. Step 5: Solve for x
    x = 3,137,288,132.25/23,980.50
  6. Step 6: Final answer
    x = 130,826.64

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.