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Finding the Third Proportional to 30,748 and 66,341

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Solution

The third proportional to 30,748 and 66,341 is: 143,135.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,748 : 66,341 = 66,341 : x
  2. Step 2: Convert to fraction form
    30,748/66,341 = 66,341/x
  3. Step 3: Cross multiply
    30,748x = 66,341 × 66,341
  4. Step 4: Simplify right side
    30,748x = 4,401,128,281
  5. Step 5: Solve for x
    x = 4,401,128,281/30,748
  6. Step 6: Final answer
    x = 143,135.43

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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.