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Finding the Third Proportional to 45,873 and 70,530

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Solution

The third proportional to 45,873 and 70,530 is: 108,440.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,873 : 70,530 = 70,530 : x
  2. Step 2: Convert to fraction form
    45,873/70,530 = 70,530/x
  3. Step 3: Cross multiply
    45,873x = 70,530 × 70,530
  4. Step 4: Simplify right side
    45,873x = 4,974,480,900
  5. Step 5: Solve for x
    x = 4,974,480,900/45,873
  6. Step 6: Final answer
    x = 108,440.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.