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Finding the Third Proportional to 28,983 and 38,821.50

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Solution

The third proportional to 28,983 and 38,821.50 is: 51,999.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,983 : 38,821.50 = 38,821.50 : x
  2. Step 2: Convert to fraction form
    28,983/38,821.50 = 38,821.50/x
  3. Step 3: Cross multiply
    28,983x = 38,821.50 × 38,821.50
  4. Step 4: Simplify right side
    28,983x = 1,507,108,862.25
  5. Step 5: Solve for x
    x = 1,507,108,862.25/28,983
  6. Step 6: Final answer
    x = 51,999.75

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.