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Finding the Third Proportional to 29,331 and 63,222.75

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Solution

The third proportional to 29,331 and 63,222.75 is: 136,276.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,331 : 63,222.75 = 63,222.75 : x
  2. Step 2: Convert to fraction form
    29,331/63,222.75 = 63,222.75/x
  3. Step 3: Cross multiply
    29,331x = 63,222.75 × 63,222.75
  4. Step 4: Simplify right side
    29,331x = 3,997,116,117.56
  5. Step 5: Solve for x
    x = 3,997,116,117.56/29,331
  6. Step 6: Final answer
    x = 136,276.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.