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Finding the Third Proportional to 29,025 and 63,335.25

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Solution

The third proportional to 29,025 and 63,335.25 is: 138,203.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,025 : 63,335.25 = 63,335.25 : x
  2. Step 2: Convert to fraction form
    29,025/63,335.25 = 63,335.25/x
  3. Step 3: Cross multiply
    29,025x = 63,335.25 × 63,335.25
  4. Step 4: Simplify right side
    29,025x = 4,011,353,892.56
  5. Step 5: Solve for x
    x = 4,011,353,892.56/29,025
  6. Step 6: Final answer
    x = 138,203.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.