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Finding the Third Proportional to 7,095.94 and 10,742.63

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Solution

The third proportional to 7,095.94 and 10,742.63 is: 16,263.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,095.94 : 10,742.63 = 10,742.63 : x
  2. Step 2: Convert to fraction form
    7,095.94/10,742.63 = 10,742.63/x
  3. Step 3: Cross multiply
    7,095.94x = 10,742.63 × 10,742.63
  4. Step 4: Simplify right side
    7,095.94x = 115,403,991.89
  5. Step 5: Solve for x
    x = 115,403,991.89/7,095.94
  6. Step 6: Final answer
    x = 16,263.39

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.