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Finding the Third Proportional to 35,285.81 and 75,688.13

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Solution

The third proportional to 35,285.81 and 75,688.13 is: 162,351.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,285.81 : 75,688.13 = 75,688.13 : x
  2. Step 2: Convert to fraction form
    35,285.81/75,688.13 = 75,688.13/x
  3. Step 3: Cross multiply
    35,285.81x = 75,688.13 × 75,688.13
  4. Step 4: Simplify right side
    35,285.81x = 5,728,692,266.02
  5. Step 5: Solve for x
    x = 5,728,692,266.02/35,285.81
  6. Step 6: Final answer
    x = 162,351.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.