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Finding the Third Proportional to 22,923 and 35,032.50

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Solution

The third proportional to 22,923 and 35,032.50 is: 53,539.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,923 : 35,032.50 = 35,032.50 : x
  2. Step 2: Convert to fraction form
    22,923/35,032.50 = 35,032.50/x
  3. Step 3: Cross multiply
    22,923x = 35,032.50 × 35,032.50
  4. Step 4: Simplify right side
    22,923x = 1,227,276,056.25
  5. Step 5: Solve for x
    x = 1,227,276,056.25/22,923
  6. Step 6: Final answer
    x = 53,539.07

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.