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Finding the Third Proportional to 30,092 and 45,902

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Solution

The third proportional to 30,092 and 45,902 is: 70,018.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,092 : 45,902 = 45,902 : x
  2. Step 2: Convert to fraction form
    30,092/45,902 = 45,902/x
  3. Step 3: Cross multiply
    30,092x = 45,902 × 45,902
  4. Step 4: Simplify right side
    30,092x = 2,106,993,604
  5. Step 5: Solve for x
    x = 2,106,993,604/30,092
  6. Step 6: Final answer
    x = 70,018.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.