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Finding the Third Proportional to 23,113 and 35,533.50

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Solution

The third proportional to 23,113 and 35,533.50 is: 54,628.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,113 : 35,533.50 = 35,533.50 : x
  2. Step 2: Convert to fraction form
    23,113/35,533.50 = 35,533.50/x
  3. Step 3: Cross multiply
    23,113x = 35,533.50 × 35,533.50
  4. Step 4: Simplify right side
    23,113x = 1,262,629,622.25
  5. Step 5: Solve for x
    x = 1,262,629,622.25/23,113
  6. Step 6: Final answer
    x = 54,628.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.