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Finding the Third Proportional to 30,953 and 46,430

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Solution

The third proportional to 30,953 and 46,430 is: 69,645.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,953 : 46,430 = 46,430 : x
  2. Step 2: Convert to fraction form
    30,953/46,430 = 46,430/x
  3. Step 3: Cross multiply
    30,953x = 46,430 × 46,430
  4. Step 4: Simplify right side
    30,953x = 2,155,744,900
  5. Step 5: Solve for x
    x = 2,155,744,900/30,953
  6. Step 6: Final answer
    x = 69,645.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.