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Finding the Third Proportional to 29,407.50 and 69,410.25

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Solution

The third proportional to 29,407.50 and 69,410.25 is: 163,828.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,407.50 : 69,410.25 = 69,410.25 : x
  2. Step 2: Convert to fraction form
    29,407.50/69,410.25 = 69,410.25/x
  3. Step 3: Cross multiply
    29,407.50x = 69,410.25 × 69,410.25
  4. Step 4: Simplify right side
    29,407.50x = 4,817,782,805.06
  5. Step 5: Solve for x
    x = 4,817,782,805.06/29,407.50
  6. Step 6: Final answer
    x = 163,828.37

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.