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Finding the Third Proportional to 4,673.95 and 9,995.91

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Solution

The third proportional to 4,673.95 and 9,995.91 is: 21,377.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,673.95 : 9,995.91 = 9,995.91 : x
  2. Step 2: Convert to fraction form
    4,673.95/9,995.91 = 9,995.91/x
  3. Step 3: Cross multiply
    4,673.95x = 9,995.91 × 9,995.91
  4. Step 4: Simplify right side
    4,673.95x = 99,918,141.76
  5. Step 5: Solve for x
    x = 99,918,141.76/4,673.95
  6. Step 6: Final answer
    x = 21,377.65

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.