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Finding the Third Proportional to 30,580.88 and 47,262.94

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Solution

The third proportional to 30,580.88 and 47,262.94 is: 73,045.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,580.88 : 47,262.94 = 47,262.94 : x
  2. Step 2: Convert to fraction form
    30,580.88/47,262.94 = 47,262.94/x
  3. Step 3: Cross multiply
    30,580.88x = 47,262.94 × 47,262.94
  4. Step 4: Simplify right side
    30,580.88x = 2,233,785,261.13
  5. Step 5: Solve for x
    x = 2,233,785,261.13/30,580.88
  6. Step 6: Final answer
    x = 73,045.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.