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Finding the Third Proportional to 23,028 and 30,277.50

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Solution

The third proportional to 23,028 and 30,277.50 is: 39,809.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,028 : 30,277.50 = 30,277.50 : x
  2. Step 2: Convert to fraction form
    23,028/30,277.50 = 30,277.50/x
  3. Step 3: Cross multiply
    23,028x = 30,277.50 × 30,277.50
  4. Step 4: Simplify right side
    23,028x = 916,727,006.25
  5. Step 5: Solve for x
    x = 916,727,006.25/23,028
  6. Step 6: Final answer
    x = 39,809.23

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.