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Finding the Third Proportional to 46,853.50 and 72,072.50

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Solution

The third proportional to 46,853.50 and 72,072.50 is: 110,865.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,853.50 : 72,072.50 = 72,072.50 : x
  2. Step 2: Convert to fraction form
    46,853.50/72,072.50 = 72,072.50/x
  3. Step 3: Cross multiply
    46,853.50x = 72,072.50 × 72,072.50
  4. Step 4: Simplify right side
    46,853.50x = 5,194,445,256.25
  5. Step 5: Solve for x
    x = 5,194,445,256.25/46,853.50
  6. Step 6: Final answer
    x = 110,865.68

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.