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Finding the Third Proportional to 30,045.94 and 47,131.03

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Solution

The third proportional to 30,045.94 and 47,131.03 is: 73,931.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,045.94 : 47,131.03 = 47,131.03 : x
  2. Step 2: Convert to fraction form
    30,045.94/47,131.03 = 47,131.03/x
  3. Step 3: Cross multiply
    30,045.94x = 47,131.03 × 47,131.03
  4. Step 4: Simplify right side
    30,045.94x = 2,221,334,106.69
  5. Step 5: Solve for x
    x = 2,221,334,106.69/30,045.94
  6. Step 6: Final answer
    x = 73,931.26

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.