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Finding the Third Proportional to 12,927.75 and 27,925.50

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Solution

The third proportional to 12,927.75 and 27,925.50 is: 60,322.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,927.75 : 27,925.50 = 27,925.50 : x
  2. Step 2: Convert to fraction form
    12,927.75/27,925.50 = 27,925.50/x
  3. Step 3: Cross multiply
    12,927.75x = 27,925.50 × 27,925.50
  4. Step 4: Simplify right side
    12,927.75x = 779,833,550.25
  5. Step 5: Solve for x
    x = 779,833,550.25/12,927.75
  6. Step 6: Final answer
    x = 60,322.45

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.