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Finding the Third Proportional to 27,157 and 56,796.50

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Solution

The third proportional to 27,157 and 56,796.50 is: 118,784.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,157 : 56,796.50 = 56,796.50 : x
  2. Step 2: Convert to fraction form
    27,157/56,796.50 = 56,796.50/x
  3. Step 3: Cross multiply
    27,157x = 56,796.50 × 56,796.50
  4. Step 4: Simplify right side
    27,157x = 3,225,842,412.25
  5. Step 5: Solve for x
    x = 3,225,842,412.25/27,157
  6. Step 6: Final answer
    x = 118,784.93

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.