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Finding the Third Proportional to 7,077.50 and 15,308

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Solution

The third proportional to 7,077.50 and 15,308 is: 33,109.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,077.50 : 15,308 = 15,308 : x
  2. Step 2: Convert to fraction form
    7,077.50/15,308 = 15,308/x
  3. Step 3: Cross multiply
    7,077.50x = 15,308 × 15,308
  4. Step 4: Simplify right side
    7,077.50x = 234,334,864
  5. Step 5: Solve for x
    x = 234,334,864/7,077.50
  6. Step 6: Final answer
    x = 33,109.84

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.