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Finding the Third Proportional to 27,284.50 and 53,448.50

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Solution

The third proportional to 27,284.50 and 53,448.50 is: 104,702.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,284.50 : 53,448.50 = 53,448.50 : x
  2. Step 2: Convert to fraction form
    27,284.50/53,448.50 = 53,448.50/x
  3. Step 3: Cross multiply
    27,284.50x = 53,448.50 × 53,448.50
  4. Step 4: Simplify right side
    27,284.50x = 2,856,742,152.25
  5. Step 5: Solve for x
    x = 2,856,742,152.25/27,284.50
  6. Step 6: Final answer
    x = 104,702.02

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These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.