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Finding the Third Proportional to 30,723 and 46,545

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Solution

The third proportional to 30,723 and 46,545 is: 70,515.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,723 : 46,545 = 46,545 : x
  2. Step 2: Convert to fraction form
    30,723/46,545 = 46,545/x
  3. Step 3: Cross multiply
    30,723x = 46,545 × 46,545
  4. Step 4: Simplify right side
    30,723x = 2,166,437,025
  5. Step 5: Solve for x
    x = 2,166,437,025/30,723
  6. Step 6: Final answer
    x = 70,515.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.