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Finding the Third Proportional to 7,051 and 9,858

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Solution

The third proportional to 7,051 and 9,858 is: 13,782.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,051 : 9,858 = 9,858 : x
  2. Step 2: Convert to fraction form
    7,051/9,858 = 9,858/x
  3. Step 3: Cross multiply
    7,051x = 9,858 × 9,858
  4. Step 4: Simplify right side
    7,051x = 97,180,164
  5. Step 5: Solve for x
    x = 97,180,164/7,051
  6. Step 6: Final answer
    x = 13,782.47

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.