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Finding the Third Proportional to 25,983 and 56,335.50

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Solution

The third proportional to 25,983 and 56,335.50 is: 122,144.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,983 : 56,335.50 = 56,335.50 : x
  2. Step 2: Convert to fraction form
    25,983/56,335.50 = 56,335.50/x
  3. Step 3: Cross multiply
    25,983x = 56,335.50 × 56,335.50
  4. Step 4: Simplify right side
    25,983x = 3,173,688,560.25
  5. Step 5: Solve for x
    x = 3,173,688,560.25/25,983
  6. Step 6: Final answer
    x = 122,144.81

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.