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Finding the Third Proportional to 32,313 and 70,626

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Solution

The third proportional to 32,313 and 70,626 is: 154,366.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,313 : 70,626 = 70,626 : x
  2. Step 2: Convert to fraction form
    32,313/70,626 = 70,626/x
  3. Step 3: Cross multiply
    32,313x = 70,626 × 70,626
  4. Step 4: Simplify right side
    32,313x = 4,988,031,876
  5. Step 5: Solve for x
    x = 4,988,031,876/32,313
  6. Step 6: Final answer
    x = 154,366.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.