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Finding the Third Proportional to 3,214.13 and 4,973.63

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Solution

The third proportional to 3,214.13 and 4,973.63 is: 7,696.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.13 : 4,973.63 = 4,973.63 : x
  2. Step 2: Convert to fraction form
    3,214.13/4,973.63 = 4,973.63/x
  3. Step 3: Cross multiply
    3,214.13x = 4,973.63 × 4,973.63
  4. Step 4: Simplify right side
    3,214.13x = 24,736,945.64
  5. Step 5: Solve for x
    x = 24,736,945.64/3,214.13
  6. Step 6: Final answer
    x = 7,696.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.