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Finding the Third Proportional to 30,259 and 46,664.50

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Solution

The third proportional to 30,259 and 46,664.50 is: 71,964.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,259 : 46,664.50 = 46,664.50 : x
  2. Step 2: Convert to fraction form
    30,259/46,664.50 = 46,664.50/x
  3. Step 3: Cross multiply
    30,259x = 46,664.50 × 46,664.50
  4. Step 4: Simplify right side
    30,259x = 2,177,575,560.25
  5. Step 5: Solve for x
    x = 2,177,575,560.25/30,259
  6. Step 6: Final answer
    x = 71,964.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.