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Finding the Third Proportional to 30,226 and 45,365

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Solution

The third proportional to 30,226 and 45,365 is: 68,086.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,226 : 45,365 = 45,365 : x
  2. Step 2: Convert to fraction form
    30,226/45,365 = 45,365/x
  3. Step 3: Cross multiply
    30,226x = 45,365 × 45,365
  4. Step 4: Simplify right side
    30,226x = 2,057,983,225
  5. Step 5: Solve for x
    x = 2,057,983,225/30,226
  6. Step 6: Final answer
    x = 68,086.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.