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Finding the Third Proportional to 11,957.63 and 27,788.06

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Solution

The third proportional to 11,957.63 and 27,788.06 is: 64,576.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,957.63 : 27,788.06 = 27,788.06 : x
  2. Step 2: Convert to fraction form
    11,957.63/27,788.06 = 27,788.06/x
  3. Step 3: Cross multiply
    11,957.63x = 27,788.06 × 27,788.06
  4. Step 4: Simplify right side
    11,957.63x = 772,176,417.50
  5. Step 5: Solve for x
    x = 772,176,417.50/11,957.63
  6. Step 6: Final answer
    x = 64,576.07

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.