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Finding the Third Proportional to 45,415 and 70,883

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Solution

The third proportional to 45,415 and 70,883 is: 110,633.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,415 : 70,883 = 70,883 : x
  2. Step 2: Convert to fraction form
    45,415/70,883 = 70,883/x
  3. Step 3: Cross multiply
    45,415x = 70,883 × 70,883
  4. Step 4: Simplify right side
    45,415x = 5,024,399,689
  5. Step 5: Solve for x
    x = 5,024,399,689/45,415
  6. Step 6: Final answer
    x = 110,633.04

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.