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Finding the Third Proportional to 46,147 and 60,595

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Solution

The third proportional to 46,147 and 60,595 is: 79,566.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,147 : 60,595 = 60,595 : x
  2. Step 2: Convert to fraction form
    46,147/60,595 = 60,595/x
  3. Step 3: Cross multiply
    46,147x = 60,595 × 60,595
  4. Step 4: Simplify right side
    46,147x = 3,671,754,025
  5. Step 5: Solve for x
    x = 3,671,754,025/46,147
  6. Step 6: Final answer
    x = 79,566.47

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.