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Finding the Third Proportional to 7,005.94 and 15,125.06

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Solution

The third proportional to 7,005.94 and 15,125.06 is: 32,653.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.94 : 15,125.06 = 15,125.06 : x
  2. Step 2: Convert to fraction form
    7,005.94/15,125.06 = 15,125.06/x
  3. Step 3: Cross multiply
    7,005.94x = 15,125.06 × 15,125.06
  4. Step 4: Simplify right side
    7,005.94x = 228,767,515.63
  5. Step 5: Solve for x
    x = 228,767,515.63/7,005.94
  6. Step 6: Final answer
    x = 32,653.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.