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Finding the Third Proportional to 30,415.88 and 40,685.63

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Solution

The third proportional to 30,415.88 and 40,685.63 is: 54,422.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,415.88 : 40,685.63 = 40,685.63 : x
  2. Step 2: Convert to fraction form
    30,415.88/40,685.63 = 40,685.63/x
  3. Step 3: Cross multiply
    30,415.88x = 40,685.63 × 40,685.63
  4. Step 4: Simplify right side
    30,415.88x = 1,655,320,081.64
  5. Step 5: Solve for x
    x = 1,655,320,081.64/30,415.88
  6. Step 6: Final answer
    x = 54,422.90

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.