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Finding the Third Proportional to 30,258 and 66,489.75

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Solution

The third proportional to 30,258 and 66,489.75 is: 146,106.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,258 : 66,489.75 = 66,489.75 : x
  2. Step 2: Convert to fraction form
    30,258/66,489.75 = 66,489.75/x
  3. Step 3: Cross multiply
    30,258x = 66,489.75 × 66,489.75
  4. Step 4: Simplify right side
    30,258x = 4,420,886,855.06
  5. Step 5: Solve for x
    x = 4,420,886,855.06/30,258
  6. Step 6: Final answer
    x = 146,106.38

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.