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Finding the Third Proportional to 35,280.56 and 55,064.81

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Solution

The third proportional to 35,280.56 and 55,064.81 is: 85,943.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,280.56 : 55,064.81 = 55,064.81 : x
  2. Step 2: Convert to fraction form
    35,280.56/55,064.81 = 55,064.81/x
  3. Step 3: Cross multiply
    35,280.56x = 55,064.81 × 55,064.81
  4. Step 4: Simplify right side
    35,280.56x = 3,032,133,575.66
  5. Step 5: Solve for x
    x = 3,032,133,575.66/35,280.56
  6. Step 6: Final answer
    x = 85,943.46

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.