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Finding the Third Proportional to 7,102.63 and 10,870.25

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Solution

The third proportional to 7,102.63 and 10,870.25 is: 16,636.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.63 : 10,870.25 = 10,870.25 : x
  2. Step 2: Convert to fraction form
    7,102.63/10,870.25 = 10,870.25/x
  3. Step 3: Cross multiply
    7,102.63x = 10,870.25 × 10,870.25
  4. Step 4: Simplify right side
    7,102.63x = 118,162,335.06
  5. Step 5: Solve for x
    x = 118,162,335.06/7,102.63
  6. Step 6: Final answer
    x = 16,636.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.