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Finding the Third Proportional to 15,360 and 35,968

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Solution

The third proportional to 15,360 and 35,968 is: 84,225.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,360 : 35,968 = 35,968 : x
  2. Step 2: Convert to fraction form
    15,360/35,968 = 35,968/x
  3. Step 3: Cross multiply
    15,360x = 35,968 × 35,968
  4. Step 4: Simplify right side
    15,360x = 1,293,697,024
  5. Step 5: Solve for x
    x = 1,293,697,024/15,360
  6. Step 6: Final answer
    x = 84,225.07

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.