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Finding the Third Proportional to 23,208 and 40,461.75

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Solution

The third proportional to 23,208 and 40,461.75 is: 70,542.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,208 : 40,461.75 = 40,461.75 : x
  2. Step 2: Convert to fraction form
    23,208/40,461.75 = 40,461.75/x
  3. Step 3: Cross multiply
    23,208x = 40,461.75 × 40,461.75
  4. Step 4: Simplify right side
    23,208x = 1,637,153,213.06
  5. Step 5: Solve for x
    x = 1,637,153,213.06/23,208
  6. Step 6: Final answer
    x = 70,542.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.