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Finding the Third Proportional to 30,748.50 and 66,341.25

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Solution

The third proportional to 30,748.50 and 66,341.25 is: 143,134.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,748.50 : 66,341.25 = 66,341.25 : x
  2. Step 2: Convert to fraction form
    30,748.50/66,341.25 = 66,341.25/x
  3. Step 3: Cross multiply
    30,748.50x = 66,341.25 × 66,341.25
  4. Step 4: Simplify right side
    30,748.50x = 4,401,161,451.56
  5. Step 5: Solve for x
    x = 4,401,161,451.56/30,748.50
  6. Step 6: Final answer
    x = 143,134.18

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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.