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Finding the Third Proportional to 30,645.84 and 46,860.19

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Solution

The third proportional to 30,645.84 and 46,860.19 is: 71,653.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,645.84 : 46,860.19 = 46,860.19 : x
  2. Step 2: Convert to fraction form
    30,645.84/46,860.19 = 46,860.19/x
  3. Step 3: Cross multiply
    30,645.84x = 46,860.19 × 46,860.19
  4. Step 4: Simplify right side
    30,645.84x = 2,195,877,172.54
  5. Step 5: Solve for x
    x = 2,195,877,172.54/30,645.84
  6. Step 6: Final answer
    x = 71,653.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.