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Finding the Third Proportional to 30,225.38 and 65,803.50

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Solution

The third proportional to 30,225.38 and 65,803.50 is: 143,260.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,225.38 : 65,803.50 = 65,803.50 : x
  2. Step 2: Convert to fraction form
    30,225.38/65,803.50 = 65,803.50/x
  3. Step 3: Cross multiply
    30,225.38x = 65,803.50 × 65,803.50
  4. Step 4: Simplify right side
    30,225.38x = 4,330,100,612.25
  5. Step 5: Solve for x
    x = 4,330,100,612.25/30,225.38
  6. Step 6: Final answer
    x = 143,260.44

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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.