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Finding the Third Proportional to 6,426 and 8,547

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Solution

The third proportional to 6,426 and 8,547 is: 11,368.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,426 : 8,547 = 8,547 : x
  2. Step 2: Convert to fraction form
    6,426/8,547 = 8,547/x
  3. Step 3: Cross multiply
    6,426x = 8,547 × 8,547
  4. Step 4: Simplify right side
    6,426x = 73,051,209
  5. Step 5: Solve for x
    x = 73,051,209/6,426
  6. Step 6: Final answer
    x = 11,368.07

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.