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Finding the Third Proportional to 24,416 and 50,127.50

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Solution

The third proportional to 24,416 and 50,127.50 is: 102,914.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,416 : 50,127.50 = 50,127.50 : x
  2. Step 2: Convert to fraction form
    24,416/50,127.50 = 50,127.50/x
  3. Step 3: Cross multiply
    24,416x = 50,127.50 × 50,127.50
  4. Step 4: Simplify right side
    24,416x = 2,512,766,256.25
  5. Step 5: Solve for x
    x = 2,512,766,256.25/24,416
  6. Step 6: Final answer
    x = 102,914.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.