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Finding the Third Proportional to 29,869 and 46,619

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Solution

The third proportional to 29,869 and 46,619 is: 72,762.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,869 : 46,619 = 46,619 : x
  2. Step 2: Convert to fraction form
    29,869/46,619 = 46,619/x
  3. Step 3: Cross multiply
    29,869x = 46,619 × 46,619
  4. Step 4: Simplify right side
    29,869x = 2,173,331,161
  5. Step 5: Solve for x
    x = 2,173,331,161/29,869
  6. Step 6: Final answer
    x = 72,762.10

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.