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Finding the Third Proportional to 45,928 and 70,888

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Solution

The third proportional to 45,928 and 70,888 is: 109,412.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,928 : 70,888 = 70,888 : x
  2. Step 2: Convert to fraction form
    45,928/70,888 = 70,888/x
  3. Step 3: Cross multiply
    45,928x = 70,888 × 70,888
  4. Step 4: Simplify right side
    45,928x = 5,025,108,544
  5. Step 5: Solve for x
    x = 5,025,108,544/45,928
  6. Step 6: Final answer
    x = 109,412.74

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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.