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Finding the Third Proportional to 7,052 and 15,319

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Solution

The third proportional to 7,052 and 15,319 is: 33,277.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,052 : 15,319 = 15,319 : x
  2. Step 2: Convert to fraction form
    7,052/15,319 = 15,319/x
  3. Step 3: Cross multiply
    7,052x = 15,319 × 15,319
  4. Step 4: Simplify right side
    7,052x = 234,671,761
  5. Step 5: Solve for x
    x = 234,671,761/7,052
  6. Step 6: Final answer
    x = 33,277.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.