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Finding the Third Proportional to 30,547 and 47,299

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Solution

The third proportional to 30,547 and 47,299 is: 73,237.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,547 : 47,299 = 47,299 : x
  2. Step 2: Convert to fraction form
    30,547/47,299 = 47,299/x
  3. Step 3: Cross multiply
    30,547x = 47,299 × 47,299
  4. Step 4: Simplify right side
    30,547x = 2,237,195,401
  5. Step 5: Solve for x
    x = 2,237,195,401/30,547
  6. Step 6: Final answer
    x = 73,237.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.