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Finding the Third Proportional to 6,495 and 11,730

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Solution

The third proportional to 6,495 and 11,730 is: 21,184.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,495 : 11,730 = 11,730 : x
  2. Step 2: Convert to fraction form
    6,495/11,730 = 11,730/x
  3. Step 3: Cross multiply
    6,495x = 11,730 × 11,730
  4. Step 4: Simplify right side
    6,495x = 137,592,900
  5. Step 5: Solve for x
    x = 137,592,900/6,495
  6. Step 6: Final answer
    x = 21,184.43

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.