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Finding the Third Proportional to 30,042.75 and 69,547.25

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Solution

The third proportional to 30,042.75 and 69,547.25 is: 160,997.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,042.75 : 69,547.25 = 69,547.25 : x
  2. Step 2: Convert to fraction form
    30,042.75/69,547.25 = 69,547.25/x
  3. Step 3: Cross multiply
    30,042.75x = 69,547.25 × 69,547.25
  4. Step 4: Simplify right side
    30,042.75x = 4,836,819,982.56
  5. Step 5: Solve for x
    x = 4,836,819,982.56/30,042.75
  6. Step 6: Final answer
    x = 160,997.91

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.