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Finding the Third Proportional to 7,052 and 9,158

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Solution

The third proportional to 7,052 and 9,158 is: 11,892.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,052 : 9,158 = 9,158 : x
  2. Step 2: Convert to fraction form
    7,052/9,158 = 9,158/x
  3. Step 3: Cross multiply
    7,052x = 9,158 × 9,158
  4. Step 4: Simplify right side
    7,052x = 83,868,964
  5. Step 5: Solve for x
    x = 83,868,964/7,052
  6. Step 6: Final answer
    x = 11,892.93

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.