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Finding the Third Proportional to 19,983.38 and 46,139.63

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Solution

The third proportional to 19,983.38 and 46,139.63 is: 106,531.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,983.38 : 46,139.63 = 46,139.63 : x
  2. Step 2: Convert to fraction form
    19,983.38/46,139.63 = 46,139.63/x
  3. Step 3: Cross multiply
    19,983.38x = 46,139.63 × 46,139.63
  4. Step 4: Simplify right side
    19,983.38x = 2,128,864,995.14
  5. Step 5: Solve for x
    x = 2,128,864,995.14/19,983.38
  6. Step 6: Final answer
    x = 106,531.80

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.