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Finding the Third Proportional to 30,120 and 63,631.50

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Solution

The third proportional to 30,120 and 63,631.50 is: 134,427.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,120 : 63,631.50 = 63,631.50 : x
  2. Step 2: Convert to fraction form
    30,120/63,631.50 = 63,631.50/x
  3. Step 3: Cross multiply
    30,120x = 63,631.50 × 63,631.50
  4. Step 4: Simplify right side
    30,120x = 4,048,967,792.25
  5. Step 5: Solve for x
    x = 4,048,967,792.25/30,120
  6. Step 6: Final answer
    x = 134,427.88

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.