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Finding the Third Proportional to 5,121 and 5,973.75

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Solution

The third proportional to 5,121 and 5,973.75 is: 6,968.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,121 : 5,973.75 = 5,973.75 : x
  2. Step 2: Convert to fraction form
    5,121/5,973.75 = 5,973.75/x
  3. Step 3: Cross multiply
    5,121x = 5,973.75 × 5,973.75
  4. Step 4: Simplify right side
    5,121x = 35,685,689.06
  5. Step 5: Solve for x
    x = 35,685,689.06/5,121
  6. Step 6: Final answer
    x = 6,968.50

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.