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Finding the Third Proportional to 30,214.58 and 65,805.54

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Solution

The third proportional to 30,214.58 and 65,805.54 is: 143,320.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,214.58 : 65,805.54 = 65,805.54 : x
  2. Step 2: Convert to fraction form
    30,214.58/65,805.54 = 65,805.54/x
  3. Step 3: Cross multiply
    30,214.58x = 65,805.54 × 65,805.54
  4. Step 4: Simplify right side
    30,214.58x = 4,330,368,971.31
  5. Step 5: Solve for x
    x = 4,330,368,971.31/30,214.58
  6. Step 6: Final answer
    x = 143,320.50

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.