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Finding the Third Proportional to 28,596 and 43,261.50

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Solution

The third proportional to 28,596 and 43,261.50 is: 65,448.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,596 : 43,261.50 = 43,261.50 : x
  2. Step 2: Convert to fraction form
    28,596/43,261.50 = 43,261.50/x
  3. Step 3: Cross multiply
    28,596x = 43,261.50 × 43,261.50
  4. Step 4: Simplify right side
    28,596x = 1,871,557,382.25
  5. Step 5: Solve for x
    x = 1,871,557,382.25/28,596
  6. Step 6: Final answer
    x = 65,448.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.