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Finding the Third Proportional to 28,853 and 45,649

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Solution

The third proportional to 28,853 and 45,649 is: 72,222.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,853 : 45,649 = 45,649 : x
  2. Step 2: Convert to fraction form
    28,853/45,649 = 45,649/x
  3. Step 3: Cross multiply
    28,853x = 45,649 × 45,649
  4. Step 4: Simplify right side
    28,853x = 2,083,831,201
  5. Step 5: Solve for x
    x = 2,083,831,201/28,853
  6. Step 6: Final answer
    x = 72,222.34

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.