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Finding the Third Proportional to 35,142.50 and 56,206.50

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Solution

The third proportional to 35,142.50 and 56,206.50 is: 89,896.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,142.50 : 56,206.50 = 56,206.50 : x
  2. Step 2: Convert to fraction form
    35,142.50/56,206.50 = 56,206.50/x
  3. Step 3: Cross multiply
    35,142.50x = 56,206.50 × 56,206.50
  4. Step 4: Simplify right side
    35,142.50x = 3,159,170,642.25
  5. Step 5: Solve for x
    x = 3,159,170,642.25/35,142.50
  6. Step 6: Final answer
    x = 89,896.01

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.