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Finding the Third Proportional to 6,973.88 and 15,017.63

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Solution

The third proportional to 6,973.88 and 15,017.63 is: 32,339.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,973.88 : 15,017.63 = 15,017.63 : x
  2. Step 2: Convert to fraction form
    6,973.88/15,017.63 = 15,017.63/x
  3. Step 3: Cross multiply
    6,973.88x = 15,017.63 × 15,017.63
  4. Step 4: Simplify right side
    6,973.88x = 225,529,060.64
  5. Step 5: Solve for x
    x = 225,529,060.64/6,973.88
  6. Step 6: Final answer
    x = 32,339.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.