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Finding the Third Proportional to 7,290 and 10,127

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Solution

The third proportional to 7,290 and 10,127 is: 14,068.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,290 : 10,127 = 10,127 : x
  2. Step 2: Convert to fraction form
    7,290/10,127 = 10,127/x
  3. Step 3: Cross multiply
    7,290x = 10,127 × 10,127
  4. Step 4: Simplify right side
    7,290x = 102,556,129
  5. Step 5: Solve for x
    x = 102,556,129/7,290
  6. Step 6: Final answer
    x = 14,068.06

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.