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Finding the Third Proportional to 30,315 and 46,338

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Solution

The third proportional to 30,315 and 46,338 is: 70,829.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,315 : 46,338 = 46,338 : x
  2. Step 2: Convert to fraction form
    30,315/46,338 = 46,338/x
  3. Step 3: Cross multiply
    30,315x = 46,338 × 46,338
  4. Step 4: Simplify right side
    30,315x = 2,147,210,244
  5. Step 5: Solve for x
    x = 2,147,210,244/30,315
  6. Step 6: Final answer
    x = 70,829.96

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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.