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Finding the Third Proportional to 30,570 and 46,713

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Solution

The third proportional to 30,570 and 46,713 is: 71,380.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,570 : 46,713 = 46,713 : x
  2. Step 2: Convert to fraction form
    30,570/46,713 = 46,713/x
  3. Step 3: Cross multiply
    30,570x = 46,713 × 46,713
  4. Step 4: Simplify right side
    30,570x = 2,182,104,369
  5. Step 5: Solve for x
    x = 2,182,104,369/30,570
  6. Step 6: Final answer
    x = 71,380.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.