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Finding the Third Proportional to 30,460.50 and 70,511.75

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Solution

The third proportional to 30,460.50 and 70,511.75 is: 163,224.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,460.50 : 70,511.75 = 70,511.75 : x
  2. Step 2: Convert to fraction form
    30,460.50/70,511.75 = 70,511.75/x
  3. Step 3: Cross multiply
    30,460.50x = 70,511.75 × 70,511.75
  4. Step 4: Simplify right side
    30,460.50x = 4,971,906,888.06
  5. Step 5: Solve for x
    x = 4,971,906,888.06/30,460.50
  6. Step 6: Final answer
    x = 163,224.73

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.