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Finding the Third Proportional to 35,866.13 and 70,814.25

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Solution

The third proportional to 35,866.13 and 70,814.25 is: 139,816.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,866.13 : 70,814.25 = 70,814.25 : x
  2. Step 2: Convert to fraction form
    35,866.13/70,814.25 = 70,814.25/x
  3. Step 3: Cross multiply
    35,866.13x = 70,814.25 × 70,814.25
  4. Step 4: Simplify right side
    35,866.13x = 5,014,658,003.06
  5. Step 5: Solve for x
    x = 5,014,658,003.06/35,866.13
  6. Step 6: Final answer
    x = 139,816.00

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.