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Finding the Third Proportional to 6,547 and 7,159

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Solution

The third proportional to 6,547 and 7,159 is: 7,828.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547 : 7,159 = 7,159 : x
  2. Step 2: Convert to fraction form
    6,547/7,159 = 7,159/x
  3. Step 3: Cross multiply
    6,547x = 7,159 × 7,159
  4. Step 4: Simplify right side
    6,547x = 51,251,281
  5. Step 5: Solve for x
    x = 51,251,281/6,547
  6. Step 6: Final answer
    x = 7,828.21

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.