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Finding the Third Proportional to 28,783 and 38,410.50

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Solution

The third proportional to 28,783 and 38,410.50 is: 51,258.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,783 : 38,410.50 = 38,410.50 : x
  2. Step 2: Convert to fraction form
    28,783/38,410.50 = 38,410.50/x
  3. Step 3: Cross multiply
    28,783x = 38,410.50 × 38,410.50
  4. Step 4: Simplify right side
    28,783x = 1,475,366,510.25
  5. Step 5: Solve for x
    x = 1,475,366,510.25/28,783
  6. Step 6: Final answer
    x = 51,258.26

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.