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Finding the Third Proportional to 30,690.88 and 47,901.75

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Solution

The third proportional to 30,690.88 and 47,901.75 is: 74,764.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,690.88 : 47,901.75 = 47,901.75 : x
  2. Step 2: Convert to fraction form
    30,690.88/47,901.75 = 47,901.75/x
  3. Step 3: Cross multiply
    30,690.88x = 47,901.75 × 47,901.75
  4. Step 4: Simplify right side
    30,690.88x = 2,294,577,653.06
  5. Step 5: Solve for x
    x = 2,294,577,653.06/30,690.88
  6. Step 6: Final answer
    x = 74,764.17

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.