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Finding the Third Proportional to 30,858.75 and 46,720.13

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Solution

The third proportional to 30,858.75 and 46,720.13 is: 70,734.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,858.75 : 46,720.13 = 46,720.13 : x
  2. Step 2: Convert to fraction form
    30,858.75/46,720.13 = 46,720.13/x
  3. Step 3: Cross multiply
    30,858.75x = 46,720.13 × 46,720.13
  4. Step 4: Simplify right side
    30,858.75x = 2,182,770,080.02
  5. Step 5: Solve for x
    x = 2,182,770,080.02/30,858.75
  6. Step 6: Final answer
    x = 70,734.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.