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Finding the Third Proportional to 28,413 and 60,471

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Solution

The third proportional to 28,413 and 60,471 is: 128,699.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,413 : 60,471 = 60,471 : x
  2. Step 2: Convert to fraction form
    28,413/60,471 = 60,471/x
  3. Step 3: Cross multiply
    28,413x = 60,471 × 60,471
  4. Step 4: Simplify right side
    28,413x = 3,656,741,841
  5. Step 5: Solve for x
    x = 3,656,741,841/28,413
  6. Step 6: Final answer
    x = 128,699.60

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.