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Finding the Third Proportional to 30,574.13 and 62,069.63

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Solution

The third proportional to 30,574.13 and 62,069.63 is: 126,009.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,574.13 : 62,069.63 = 62,069.63 : x
  2. Step 2: Convert to fraction form
    30,574.13/62,069.63 = 62,069.63/x
  3. Step 3: Cross multiply
    30,574.13x = 62,069.63 × 62,069.63
  4. Step 4: Simplify right side
    30,574.13x = 3,852,638,347.64
  5. Step 5: Solve for x
    x = 3,852,638,347.64/30,574.13
  6. Step 6: Final answer
    x = 126,009.77

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.