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Finding the Third Proportional to 33,303 and 46,903.13

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Solution

The third proportional to 33,303 and 46,903.13 is: 66,057.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,303 : 46,903.13 = 46,903.13 : x
  2. Step 2: Convert to fraction form
    33,303/46,903.13 = 46,903.13/x
  3. Step 3: Cross multiply
    33,303x = 46,903.13 × 46,903.13
  4. Step 4: Simplify right side
    33,303x = 2,199,903,134.77
  5. Step 5: Solve for x
    x = 2,199,903,134.77/33,303
  6. Step 6: Final answer
    x = 66,057.21

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.