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Finding the Third Proportional to 7,862.63 and 11,178.94

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Solution

The third proportional to 7,862.63 and 11,178.94 is: 15,894.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.63 : 11,178.94 = 11,178.94 : x
  2. Step 2: Convert to fraction form
    7,862.63/11,178.94 = 11,178.94/x
  3. Step 3: Cross multiply
    7,862.63x = 11,178.94 × 11,178.94
  4. Step 4: Simplify right side
    7,862.63x = 124,968,643.63
  5. Step 5: Solve for x
    x = 124,968,643.63/7,862.63
  6. Step 6: Final answer
    x = 15,894.01

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.