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Finding the Third Proportional to 21,835.13 and 46,783.13

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Solution

The third proportional to 21,835.13 and 46,783.13 is: 100,235.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,835.13 : 46,783.13 = 46,783.13 : x
  2. Step 2: Convert to fraction form
    21,835.13/46,783.13 = 46,783.13/x
  3. Step 3: Cross multiply
    21,835.13x = 46,783.13 × 46,783.13
  4. Step 4: Simplify right side
    21,835.13x = 2,188,660,784.77
  5. Step 5: Solve for x
    x = 2,188,660,784.77/21,835.13
  6. Step 6: Final answer
    x = 100,235.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.