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Finding the Third Proportional to 4,646.25 and 7,117.88

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Solution

The third proportional to 4,646.25 and 7,117.88 is: 10,904.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.25 : 7,117.88 = 7,117.88 : x
  2. Step 2: Convert to fraction form
    4,646.25/7,117.88 = 7,117.88/x
  3. Step 3: Cross multiply
    4,646.25x = 7,117.88 × 7,117.88
  4. Step 4: Simplify right side
    4,646.25x = 50,664,144.52
  5. Step 5: Solve for x
    x = 50,664,144.52/4,646.25
  6. Step 6: Final answer
    x = 10,904.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.