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Finding the Third Proportional to 30,581.75 and 47,264.44

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Solution

The third proportional to 30,581.75 and 47,264.44 is: 73,047.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,581.75 : 47,264.44 = 47,264.44 : x
  2. Step 2: Convert to fraction form
    30,581.75/47,264.44 = 47,264.44/x
  3. Step 3: Cross multiply
    30,581.75x = 47,264.44 × 47,264.44
  4. Step 4: Simplify right side
    30,581.75x = 2,233,927,052.19
  5. Step 5: Solve for x
    x = 2,233,927,052.19/30,581.75
  6. Step 6: Final answer
    x = 73,047.72

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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.