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Finding the Third Proportional to 35,509 and 76,527

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Solution

The third proportional to 35,509 and 76,527 is: 164,926.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,509 : 76,527 = 76,527 : x
  2. Step 2: Convert to fraction form
    35,509/76,527 = 76,527/x
  3. Step 3: Cross multiply
    35,509x = 76,527 × 76,527
  4. Step 4: Simplify right side
    35,509x = 5,856,381,729
  5. Step 5: Solve for x
    x = 5,856,381,729/35,509
  6. Step 6: Final answer
    x = 164,926.69

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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.