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Finding the Third Proportional to 28,122 and 42,471

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Solution

The third proportional to 28,122 and 42,471 is: 64,141.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,122 : 42,471 = 42,471 : x
  2. Step 2: Convert to fraction form
    28,122/42,471 = 42,471/x
  3. Step 3: Cross multiply
    28,122x = 42,471 × 42,471
  4. Step 4: Simplify right side
    28,122x = 1,803,785,841
  5. Step 5: Solve for x
    x = 1,803,785,841/28,122
  6. Step 6: Final answer
    x = 64,141.45

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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.