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Finding the Third Proportional to 40,564 and 60,254

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Solution

The third proportional to 40,564 and 60,254 is: 89,501.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,564 : 60,254 = 60,254 : x
  2. Step 2: Convert to fraction form
    40,564/60,254 = 60,254/x
  3. Step 3: Cross multiply
    40,564x = 60,254 × 60,254
  4. Step 4: Simplify right side
    40,564x = 3,630,544,516
  5. Step 5: Solve for x
    x = 3,630,544,516/40,564
  6. Step 6: Final answer
    x = 89,501.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.