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Finding the Third Proportional to 30,298 and 64,916

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Solution

The third proportional to 30,298 and 64,916 is: 139,087.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,298 : 64,916 = 64,916 : x
  2. Step 2: Convert to fraction form
    30,298/64,916 = 64,916/x
  3. Step 3: Cross multiply
    30,298x = 64,916 × 64,916
  4. Step 4: Simplify right side
    30,298x = 4,214,087,056
  5. Step 5: Solve for x
    x = 4,214,087,056/30,298
  6. Step 6: Final answer
    x = 139,087.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.