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Finding the Third Proportional to 21,048.50 and 46,489

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Solution

The third proportional to 21,048.50 and 46,489 is: 102,678.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,048.50 : 46,489 = 46,489 : x
  2. Step 2: Convert to fraction form
    21,048.50/46,489 = 46,489/x
  3. Step 3: Cross multiply
    21,048.50x = 46,489 × 46,489
  4. Step 4: Simplify right side
    21,048.50x = 2,161,227,121
  5. Step 5: Solve for x
    x = 2,161,227,121/21,048.50
  6. Step 6: Final answer
    x = 102,678.44

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.