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Finding the Third Proportional to 50,348 and 70,575.75

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Solution

The third proportional to 50,348 and 70,575.75 is: 98,930.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,348 : 70,575.75 = 70,575.75 : x
  2. Step 2: Convert to fraction form
    50,348/70,575.75 = 70,575.75/x
  3. Step 3: Cross multiply
    50,348x = 70,575.75 × 70,575.75
  4. Step 4: Simplify right side
    50,348x = 4,980,936,488.06
  5. Step 5: Solve for x
    x = 4,980,936,488.06/50,348
  6. Step 6: Final answer
    x = 98,930.18

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.