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Finding the Third Proportional to 30,100 and 45,914

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Solution

The third proportional to 30,100 and 45,914 is: 70,036.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,100 : 45,914 = 45,914 : x
  2. Step 2: Convert to fraction form
    30,100/45,914 = 45,914/x
  3. Step 3: Cross multiply
    30,100x = 45,914 × 45,914
  4. Step 4: Simplify right side
    30,100x = 2,108,095,396
  5. Step 5: Solve for x
    x = 2,108,095,396/30,100
  6. Step 6: Final answer
    x = 70,036.39

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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.