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Finding the Third Proportional to 29,804.50 and 65,298.50

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Solution

The third proportional to 29,804.50 and 65,298.50 is: 143,062.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,804.50 : 65,298.50 = 65,298.50 : x
  2. Step 2: Convert to fraction form
    29,804.50/65,298.50 = 65,298.50/x
  3. Step 3: Cross multiply
    29,804.50x = 65,298.50 × 65,298.50
  4. Step 4: Simplify right side
    29,804.50x = 4,263,894,102.25
  5. Step 5: Solve for x
    x = 4,263,894,102.25/29,804.50
  6. Step 6: Final answer
    x = 143,062.09

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.