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Finding the Third Proportional to 19,477.13 and 30,216.38

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Solution

The third proportional to 19,477.13 and 30,216.38 is: 46,877.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,477.13 : 30,216.38 = 30,216.38 : x
  2. Step 2: Convert to fraction form
    19,477.13/30,216.38 = 30,216.38/x
  3. Step 3: Cross multiply
    19,477.13x = 30,216.38 × 30,216.38
  4. Step 4: Simplify right side
    19,477.13x = 913,029,318.14
  5. Step 5: Solve for x
    x = 913,029,318.14/19,477.13
  6. Step 6: Final answer
    x = 46,877.01

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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.