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Finding the Third Proportional to 30,401.75 and 65,006.25

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Solution

The third proportional to 30,401.75 and 65,006.25 is: 138,998.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,401.75 : 65,006.25 = 65,006.25 : x
  2. Step 2: Convert to fraction form
    30,401.75/65,006.25 = 65,006.25/x
  3. Step 3: Cross multiply
    30,401.75x = 65,006.25 × 65,006.25
  4. Step 4: Simplify right side
    30,401.75x = 4,225,812,539.06
  5. Step 5: Solve for x
    x = 4,225,812,539.06/30,401.75
  6. Step 6: Final answer
    x = 138,998.99

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.