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Finding the Third Proportional to 968 and 1,237.50

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Solution

The third proportional to 968 and 1,237.50 is: 1,582.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    968 : 1,237.50 = 1,237.50 : x
  2. Step 2: Convert to fraction form
    968/1,237.50 = 1,237.50/x
  3. Step 3: Cross multiply
    968x = 1,237.50 × 1,237.50
  4. Step 4: Simplify right side
    968x = 1,531,406.25
  5. Step 5: Solve for x
    x = 1,531,406.25/968
  6. Step 6: Final answer
    x = 1,582.03

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.