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Finding the Third Proportional to 12,810 and 27,955.50

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Solution

The third proportional to 12,810 and 27,955.50 is: 61,007.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,810 : 27,955.50 = 27,955.50 : x
  2. Step 2: Convert to fraction form
    12,810/27,955.50 = 27,955.50/x
  3. Step 3: Cross multiply
    12,810x = 27,955.50 × 27,955.50
  4. Step 4: Simplify right side
    12,810x = 781,509,980.25
  5. Step 5: Solve for x
    x = 781,509,980.25/12,810
  6. Step 6: Final answer
    x = 61,007.80

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.