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Finding the Third Proportional to 15,870.94 and 33,927.19

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Solution

The third proportional to 15,870.94 and 33,927.19 is: 72,525.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,870.94 : 33,927.19 = 33,927.19 : x
  2. Step 2: Convert to fraction form
    15,870.94/33,927.19 = 33,927.19/x
  3. Step 3: Cross multiply
    15,870.94x = 33,927.19 × 33,927.19
  4. Step 4: Simplify right side
    15,870.94x = 1,151,054,051.66
  5. Step 5: Solve for x
    x = 1,151,054,051.66/15,870.94
  6. Step 6: Final answer
    x = 72,525.90

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Why These Related Problems?

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