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Finding the Third Proportional to 6,547 and 14,159

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Solution

The third proportional to 6,547 and 14,159 is: 30,621.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547 : 14,159 = 14,159 : x
  2. Step 2: Convert to fraction form
    6,547/14,159 = 14,159/x
  3. Step 3: Cross multiply
    6,547x = 14,159 × 14,159
  4. Step 4: Simplify right side
    6,547x = 200,477,281
  5. Step 5: Solve for x
    x = 200,477,281/6,547
  6. Step 6: Final answer
    x = 30,621.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.