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Finding the Third Proportional to 17,547 and 37,065

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Solution

The third proportional to 17,547 and 37,065 is: 78,293.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,547 : 37,065 = 37,065 : x
  2. Step 2: Convert to fraction form
    17,547/37,065 = 37,065/x
  3. Step 3: Cross multiply
    17,547x = 37,065 × 37,065
  4. Step 4: Simplify right side
    17,547x = 1,373,814,225
  5. Step 5: Solve for x
    x = 1,373,814,225/17,547
  6. Step 6: Final answer
    x = 78,293.40

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.