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Finding the Third Proportional to 30,394 and 45,998

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Solution

The third proportional to 30,394 and 45,998 is: 69,612.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,394 : 45,998 = 45,998 : x
  2. Step 2: Convert to fraction form
    30,394/45,998 = 45,998/x
  3. Step 3: Cross multiply
    30,394x = 45,998 × 45,998
  4. Step 4: Simplify right side
    30,394x = 2,115,816,004
  5. Step 5: Solve for x
    x = 2,115,816,004/30,394
  6. Step 6: Final answer
    x = 69,612.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.