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Finding the Third Proportional to 30,208 and 45,952

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Solution

The third proportional to 30,208 and 45,952 is: 69,901.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,208 : 45,952 = 45,952 : x
  2. Step 2: Convert to fraction form
    30,208/45,952 = 45,952/x
  3. Step 3: Cross multiply
    30,208x = 45,952 × 45,952
  4. Step 4: Simplify right side
    30,208x = 2,111,586,304
  5. Step 5: Solve for x
    x = 2,111,586,304/30,208
  6. Step 6: Final answer
    x = 69,901.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.