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Finding the Third Proportional to 30,911.63 and 49,055.63

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Solution

The third proportional to 30,911.63 and 49,055.63 is: 77,849.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,911.63 : 49,055.63 = 49,055.63 : x
  2. Step 2: Convert to fraction form
    30,911.63/49,055.63 = 49,055.63/x
  3. Step 3: Cross multiply
    30,911.63x = 49,055.63 × 49,055.63
  4. Step 4: Simplify right side
    30,911.63x = 2,406,454,344.14
  5. Step 5: Solve for x
    x = 2,406,454,344.14/30,911.63
  6. Step 6: Final answer
    x = 77,849.49

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.