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Finding the Third Proportional to 35,480.25 and 53,368.50

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Solution

The third proportional to 35,480.25 and 53,368.50 is: 80,275.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,480.25 : 53,368.50 = 53,368.50 : x
  2. Step 2: Convert to fraction form
    35,480.25/53,368.50 = 53,368.50/x
  3. Step 3: Cross multiply
    35,480.25x = 53,368.50 × 53,368.50
  4. Step 4: Simplify right side
    35,480.25x = 2,848,196,792.25
  5. Step 5: Solve for x
    x = 2,848,196,792.25/35,480.25
  6. Step 6: Final answer
    x = 80,275.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.