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Finding the Third Proportional to 29,625.75 and 64,786.50

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Solution

The third proportional to 29,625.75 and 64,786.50 is: 141,677.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,625.75 : 64,786.50 = 64,786.50 : x
  2. Step 2: Convert to fraction form
    29,625.75/64,786.50 = 64,786.50/x
  3. Step 3: Cross multiply
    29,625.75x = 64,786.50 × 64,786.50
  4. Step 4: Simplify right side
    29,625.75x = 4,197,290,582.25
  5. Step 5: Solve for x
    x = 4,197,290,582.25/29,625.75
  6. Step 6: Final answer
    x = 141,677.11

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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.