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Finding the Third Proportional to 7,020 and 10,135.13

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Solution

The third proportional to 7,020 and 10,135.13 is: 14,632.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,020 : 10,135.13 = 10,135.13 : x
  2. Step 2: Convert to fraction form
    7,020/10,135.13 = 10,135.13/x
  3. Step 3: Cross multiply
    7,020x = 10,135.13 × 10,135.13
  4. Step 4: Simplify right side
    7,020x = 102,720,758.77
  5. Step 5: Solve for x
    x = 102,720,758.77/7,020
  6. Step 6: Final answer
    x = 14,632.59

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.