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Finding the Third Proportional to 4,098 and 6,547

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Solution

The third proportional to 4,098 and 6,547 is: 10,459.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098 : 6,547 = 6,547 : x
  2. Step 2: Convert to fraction form
    4,098/6,547 = 6,547/x
  3. Step 3: Cross multiply
    4,098x = 6,547 × 6,547
  4. Step 4: Simplify right side
    4,098x = 42,863,209
  5. Step 5: Solve for x
    x = 42,863,209/4,098
  6. Step 6: Final answer
    x = 10,459.54

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.