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Finding the Third Proportional to 24,811 and 42,407

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Solution

The third proportional to 24,811 and 42,407 is: 72,482.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,811 : 42,407 = 42,407 : x
  2. Step 2: Convert to fraction form
    24,811/42,407 = 42,407/x
  3. Step 3: Cross multiply
    24,811x = 42,407 × 42,407
  4. Step 4: Simplify right side
    24,811x = 1,798,353,649
  5. Step 5: Solve for x
    x = 1,798,353,649/24,811
  6. Step 6: Final answer
    x = 72,482.11

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.