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Finding the Third Proportional to 6,955.13 and 15,465.38

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Solution

The third proportional to 6,955.13 and 15,465.38 is: 34,388.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,955.13 : 15,465.38 = 15,465.38 : x
  2. Step 2: Convert to fraction form
    6,955.13/15,465.38 = 15,465.38/x
  3. Step 3: Cross multiply
    6,955.13x = 15,465.38 × 15,465.38
  4. Step 4: Simplify right side
    6,955.13x = 239,177,823.89
  5. Step 5: Solve for x
    x = 239,177,823.89/6,955.13
  6. Step 6: Final answer
    x = 34,388.72

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.