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Finding the Third Proportional to 28,815 and 42,120

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Solution

The third proportional to 28,815 and 42,120 is: 61,568.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,815 : 42,120 = 42,120 : x
  2. Step 2: Convert to fraction form
    28,815/42,120 = 42,120/x
  3. Step 3: Cross multiply
    28,815x = 42,120 × 42,120
  4. Step 4: Simplify right side
    28,815x = 1,774,094,400
  5. Step 5: Solve for x
    x = 1,774,094,400/28,815
  6. Step 6: Final answer
    x = 61,568.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.