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Finding the Third Proportional to 30,576 and 47,088

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Solution

The third proportional to 30,576 and 47,088 is: 72,517.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,576 : 47,088 = 47,088 : x
  2. Step 2: Convert to fraction form
    30,576/47,088 = 47,088/x
  3. Step 3: Cross multiply
    30,576x = 47,088 × 47,088
  4. Step 4: Simplify right side
    30,576x = 2,217,279,744
  5. Step 5: Solve for x
    x = 2,217,279,744/30,576
  6. Step 6: Final answer
    x = 72,517.00

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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.