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Finding the Third Proportional to 7,006 and 15,437

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Solution

The third proportional to 7,006 and 15,437 is: 34,013.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006 : 15,437 = 15,437 : x
  2. Step 2: Convert to fraction form
    7,006/15,437 = 15,437/x
  3. Step 3: Cross multiply
    7,006x = 15,437 × 15,437
  4. Step 4: Simplify right side
    7,006x = 238,300,969
  5. Step 5: Solve for x
    x = 238,300,969/7,006
  6. Step 6: Final answer
    x = 34,013.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.