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Finding the Third Proportional to 35,677 and 76,276

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Solution

The third proportional to 35,677 and 76,276 is: 163,075.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,677 : 76,276 = 76,276 : x
  2. Step 2: Convert to fraction form
    35,677/76,276 = 76,276/x
  3. Step 3: Cross multiply
    35,677x = 76,276 × 76,276
  4. Step 4: Simplify right side
    35,677x = 5,818,028,176
  5. Step 5: Solve for x
    x = 5,818,028,176/35,677
  6. Step 6: Final answer
    x = 163,075.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.