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Finding the Third Proportional to 30,099 and 46,814

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Solution

The third proportional to 30,099 and 46,814 is: 72,811.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,099 : 46,814 = 46,814 : x
  2. Step 2: Convert to fraction form
    30,099/46,814 = 46,814/x
  3. Step 3: Cross multiply
    30,099x = 46,814 × 46,814
  4. Step 4: Simplify right side
    30,099x = 2,191,550,596
  5. Step 5: Solve for x
    x = 2,191,550,596/30,099
  6. Step 6: Final answer
    x = 72,811.41

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.