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Finding the Third Proportional to 30,334.88 and 66,501.75

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Solution

The third proportional to 30,334.88 and 66,501.75 is: 145,788.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,334.88 : 66,501.75 = 66,501.75 : x
  2. Step 2: Convert to fraction form
    30,334.88/66,501.75 = 66,501.75/x
  3. Step 3: Cross multiply
    30,334.88x = 66,501.75 × 66,501.75
  4. Step 4: Simplify right side
    30,334.88x = 4,422,482,753.06
  5. Step 5: Solve for x
    x = 4,422,482,753.06/30,334.88
  6. Step 6: Final answer
    x = 145,788.73

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.