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Finding the Third Proportional to 30,731.20 and 47,461.64

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Solution

The third proportional to 30,731.20 and 47,461.64 is: 73,300.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,731.20 : 47,461.64 = 47,461.64 : x
  2. Step 2: Convert to fraction form
    30,731.20/47,461.64 = 47,461.64/x
  3. Step 3: Cross multiply
    30,731.20x = 47,461.64 × 47,461.64
  4. Step 4: Simplify right side
    30,731.20x = 2,252,607,330.82
  5. Step 5: Solve for x
    x = 2,252,607,330.82/30,731.20
  6. Step 6: Final answer
    x = 73,300.33

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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.