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Finding the Third Proportional to 30,699.84 and 66,068.58

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Solution

The third proportional to 30,699.84 and 66,068.58 is: 142,184.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,699.84 : 66,068.58 = 66,068.58 : x
  2. Step 2: Convert to fraction form
    30,699.84/66,068.58 = 66,068.58/x
  3. Step 3: Cross multiply
    30,699.84x = 66,068.58 × 66,068.58
  4. Step 4: Simplify right side
    30,699.84x = 4,365,057,015.46
  5. Step 5: Solve for x
    x = 4,365,057,015.46/30,699.84
  6. Step 6: Final answer
    x = 142,184.99

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.