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Finding the Third Proportional to 27,152 and 41,955.50

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Solution

The third proportional to 27,152 and 41,955.50 is: 64,829.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,152 : 41,955.50 = 41,955.50 : x
  2. Step 2: Convert to fraction form
    27,152/41,955.50 = 41,955.50/x
  3. Step 3: Cross multiply
    27,152x = 41,955.50 × 41,955.50
  4. Step 4: Simplify right side
    27,152x = 1,760,263,980.25
  5. Step 5: Solve for x
    x = 1,760,263,980.25/27,152
  6. Step 6: Final answer
    x = 64,829.99

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.