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Finding the Third Proportional to 30,710 and 46,524

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Solution

The third proportional to 30,710 and 46,524 is: 70,481.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,710 : 46,524 = 46,524 : x
  2. Step 2: Convert to fraction form
    30,710/46,524 = 46,524/x
  3. Step 3: Cross multiply
    30,710x = 46,524 × 46,524
  4. Step 4: Simplify right side
    30,710x = 2,164,482,576
  5. Step 5: Solve for x
    x = 2,164,482,576/30,710
  6. Step 6: Final answer
    x = 70,481.36

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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.