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Finding the Third Proportional to 30,017.25 and 69,484.50

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Solution

The third proportional to 30,017.25 and 69,484.50 is: 160,844.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,017.25 : 69,484.50 = 69,484.50 : x
  2. Step 2: Convert to fraction form
    30,017.25/69,484.50 = 69,484.50/x
  3. Step 3: Cross multiply
    30,017.25x = 69,484.50 × 69,484.50
  4. Step 4: Simplify right side
    30,017.25x = 4,828,095,740.25
  5. Step 5: Solve for x
    x = 4,828,095,740.25/30,017.25
  6. Step 6: Final answer
    x = 160,844.04

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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.