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Finding the Third Proportional to 30,498 and 45,623

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Solution

The third proportional to 30,498 and 45,623 is: 68,249.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,498 : 45,623 = 45,623 : x
  2. Step 2: Convert to fraction form
    30,498/45,623 = 45,623/x
  3. Step 3: Cross multiply
    30,498x = 45,623 × 45,623
  4. Step 4: Simplify right side
    30,498x = 2,081,458,129
  5. Step 5: Solve for x
    x = 2,081,458,129/30,498
  6. Step 6: Final answer
    x = 68,249.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.