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Finding the Third Proportional to 30,980.25 and 46,760.63

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Solution

The third proportional to 30,980.25 and 46,760.63 is: 70,579.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,980.25 : 46,760.63 = 46,760.63 : x
  2. Step 2: Convert to fraction form
    30,980.25/46,760.63 = 46,760.63/x
  3. Step 3: Cross multiply
    30,980.25x = 46,760.63 × 46,760.63
  4. Step 4: Simplify right side
    30,980.25x = 2,186,556,050.39
  5. Step 5: Solve for x
    x = 2,186,556,050.39/30,980.25
  6. Step 6: Final answer
    x = 70,579.03

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