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Finding the Third Proportional to 30,892.50 and 67,448.25

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Solution

The third proportional to 30,892.50 and 67,448.25 is: 147,261.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,892.50 : 67,448.25 = 67,448.25 : x
  2. Step 2: Convert to fraction form
    30,892.50/67,448.25 = 67,448.25/x
  3. Step 3: Cross multiply
    30,892.50x = 67,448.25 × 67,448.25
  4. Step 4: Simplify right side
    30,892.50x = 4,549,266,428.06
  5. Step 5: Solve for x
    x = 4,549,266,428.06/30,892.50
  6. Step 6: Final answer
    x = 147,261.19

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.