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Finding the Third Proportional to 6,968.53 and 15,053.34

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Solution

The third proportional to 6,968.53 and 15,053.34 is: 32,518.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,968.53 : 15,053.34 = 15,053.34 : x
  2. Step 2: Convert to fraction form
    6,968.53/15,053.34 = 15,053.34/x
  3. Step 3: Cross multiply
    6,968.53x = 15,053.34 × 15,053.34
  4. Step 4: Simplify right side
    6,968.53x = 226,603,158.06
  5. Step 5: Solve for x
    x = 226,603,158.06/6,968.53
  6. Step 6: Final answer
    x = 32,518.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.