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Finding the Third Proportional to 35,025.75 and 48,164.63

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Solution

The third proportional to 35,025.75 and 48,164.63 is: 66,232.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,025.75 : 48,164.63 = 48,164.63 : x
  2. Step 2: Convert to fraction form
    35,025.75/48,164.63 = 48,164.63/x
  3. Step 3: Cross multiply
    35,025.75x = 48,164.63 × 48,164.63
  4. Step 4: Simplify right side
    35,025.75x = 2,319,831,101.39
  5. Step 5: Solve for x
    x = 2,319,831,101.39/35,025.75
  6. Step 6: Final answer
    x = 66,232.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.