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Finding the Third Proportional to 30,871.13 and 47,658.38

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Solution

The third proportional to 30,871.13 and 47,658.38 is: 73,574.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,871.13 : 47,658.38 = 47,658.38 : x
  2. Step 2: Convert to fraction form
    30,871.13/47,658.38 = 47,658.38/x
  3. Step 3: Cross multiply
    30,871.13x = 47,658.38 × 47,658.38
  4. Step 4: Simplify right side
    30,871.13x = 2,271,320,707.64
  5. Step 5: Solve for x
    x = 2,271,320,707.64/30,871.13
  6. Step 6: Final answer
    x = 73,574.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.