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Finding the Third Proportional to 45,664 and 70,668

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Solution

The third proportional to 45,664 and 70,668 is: 109,363.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,664 : 70,668 = 70,668 : x
  2. Step 2: Convert to fraction form
    45,664/70,668 = 70,668/x
  3. Step 3: Cross multiply
    45,664x = 70,668 × 70,668
  4. Step 4: Simplify right side
    45,664x = 4,993,966,224
  5. Step 5: Solve for x
    x = 4,993,966,224/45,664
  6. Step 6: Final answer
    x = 109,363.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.