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Finding the Third Proportional to 30,618 and 46,805.63

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Solution

The third proportional to 30,618 and 46,805.63 is: 71,551.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,618 : 46,805.63 = 46,805.63 : x
  2. Step 2: Convert to fraction form
    30,618/46,805.63 = 46,805.63/x
  3. Step 3: Cross multiply
    30,618x = 46,805.63 × 46,805.63
  4. Step 4: Simplify right side
    30,618x = 2,190,766,531.64
  5. Step 5: Solve for x
    x = 2,190,766,531.64/30,618
  6. Step 6: Final answer
    x = 71,551.59

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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.