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Finding the Third Proportional to 30,018 and 46,302

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Solution

The third proportional to 30,018 and 46,302 is: 71,419.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,018 : 46,302 = 46,302 : x
  2. Step 2: Convert to fraction form
    30,018/46,302 = 46,302/x
  3. Step 3: Cross multiply
    30,018x = 46,302 × 46,302
  4. Step 4: Simplify right side
    30,018x = 2,143,875,204
  5. Step 5: Solve for x
    x = 2,143,875,204/30,018
  6. Step 6: Final answer
    x = 71,419.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.