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Finding the Third Proportional to 7,710.50 and 15,968

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Solution

The third proportional to 7,710.50 and 15,968 is: 33,068.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.50 : 15,968 = 15,968 : x
  2. Step 2: Convert to fraction form
    7,710.50/15,968 = 15,968/x
  3. Step 3: Cross multiply
    7,710.50x = 15,968 × 15,968
  4. Step 4: Simplify right side
    7,710.50x = 254,977,024
  5. Step 5: Solve for x
    x = 254,977,024/7,710.50
  6. Step 6: Final answer
    x = 33,068.81

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.