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Finding the Third Proportional to 7,888 and 10,726

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Solution

The third proportional to 7,888 and 10,726 is: 14,585.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,888 : 10,726 = 10,726 : x
  2. Step 2: Convert to fraction form
    7,888/10,726 = 10,726/x
  3. Step 3: Cross multiply
    7,888x = 10,726 × 10,726
  4. Step 4: Simplify right side
    7,888x = 115,047,076
  5. Step 5: Solve for x
    x = 115,047,076/7,888
  6. Step 6: Final answer
    x = 14,585.08

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.