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Finding the Third Proportional to 30,645 and 46,149.75

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Solution

The third proportional to 30,645 and 46,149.75 is: 69,499.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,645 : 46,149.75 = 46,149.75 : x
  2. Step 2: Convert to fraction form
    30,645/46,149.75 = 46,149.75/x
  3. Step 3: Cross multiply
    30,645x = 46,149.75 × 46,149.75
  4. Step 4: Simplify right side
    30,645x = 2,129,799,425.06
  5. Step 5: Solve for x
    x = 2,129,799,425.06/30,645
  6. Step 6: Final answer
    x = 69,499.08

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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.