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Finding the Third Proportional to 4,689.56 and 6,962.63

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Solution

The third proportional to 4,689.56 and 6,962.63 is: 10,337.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.56 : 6,962.63 = 6,962.63 : x
  2. Step 2: Convert to fraction form
    4,689.56/6,962.63 = 6,962.63/x
  3. Step 3: Cross multiply
    4,689.56x = 6,962.63 × 6,962.63
  4. Step 4: Simplify right side
    4,689.56x = 48,478,146.89
  5. Step 5: Solve for x
    x = 48,478,146.89/4,689.56
  6. Step 6: Final answer
    x = 10,337.46

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.