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Finding the Third Proportional to 7,094.63 and 15,271.88

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Solution

The third proportional to 7,094.63 and 15,271.88 is: 32,874.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,094.63 : 15,271.88 = 15,271.88 : x
  2. Step 2: Convert to fraction form
    7,094.63/15,271.88 = 15,271.88/x
  3. Step 3: Cross multiply
    7,094.63x = 15,271.88 × 15,271.88
  4. Step 4: Simplify right side
    7,094.63x = 233,230,166.02
  5. Step 5: Solve for x
    x = 233,230,166.02/7,094.63
  6. Step 6: Final answer
    x = 32,874.21

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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.