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Finding the Third Proportional to 28,650 and 42,096

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Solution

The third proportional to 28,650 and 42,096 is: 61,852.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,650 : 42,096 = 42,096 : x
  2. Step 2: Convert to fraction form
    28,650/42,096 = 42,096/x
  3. Step 3: Cross multiply
    28,650x = 42,096 × 42,096
  4. Step 4: Simplify right side
    28,650x = 1,772,073,216
  5. Step 5: Solve for x
    x = 1,772,073,216/28,650
  6. Step 6: Final answer
    x = 61,852.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.