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Finding the Third Proportional to 30,273.75 and 46,688.06

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Solution

The third proportional to 30,273.75 and 46,688.06 is: 72,002.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,273.75 : 46,688.06 = 46,688.06 : x
  2. Step 2: Convert to fraction form
    30,273.75/46,688.06 = 46,688.06/x
  3. Step 3: Cross multiply
    30,273.75x = 46,688.06 × 46,688.06
  4. Step 4: Simplify right side
    30,273.75x = 2,179,775,180.00
  5. Step 5: Solve for x
    x = 2,179,775,180.00/30,273.75
  6. Step 6: Final answer
    x = 72,002.15

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