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Finding the Third Proportional to 23,483.50 and 55,378.50

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Solution

The third proportional to 23,483.50 and 55,378.50 is: 130,592.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,483.50 : 55,378.50 = 55,378.50 : x
  2. Step 2: Convert to fraction form
    23,483.50/55,378.50 = 55,378.50/x
  3. Step 3: Cross multiply
    23,483.50x = 55,378.50 × 55,378.50
  4. Step 4: Simplify right side
    23,483.50x = 3,066,778,262.25
  5. Step 5: Solve for x
    x = 3,066,778,262.25/23,483.50
  6. Step 6: Final answer
    x = 130,592.90

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.