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Finding the Third Proportional to 29,201 and 45,164

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Solution

The third proportional to 29,201 and 45,164 is: 69,853.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,201 : 45,164 = 45,164 : x
  2. Step 2: Convert to fraction form
    29,201/45,164 = 45,164/x
  3. Step 3: Cross multiply
    29,201x = 45,164 × 45,164
  4. Step 4: Simplify right side
    29,201x = 2,039,786,896
  5. Step 5: Solve for x
    x = 2,039,786,896/29,201
  6. Step 6: Final answer
    x = 69,853.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.