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Finding the Third Proportional to 29,840.50 and 40,383.75

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Solution

The third proportional to 29,840.50 and 40,383.75 is: 54,652.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,840.50 : 40,383.75 = 40,383.75 : x
  2. Step 2: Convert to fraction form
    29,840.50/40,383.75 = 40,383.75/x
  3. Step 3: Cross multiply
    29,840.50x = 40,383.75 × 40,383.75
  4. Step 4: Simplify right side
    29,840.50x = 1,630,847,264.06
  5. Step 5: Solve for x
    x = 1,630,847,264.06/29,840.50
  6. Step 6: Final answer
    x = 54,652.14

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.