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Finding the Third Proportional to 35,528 and 76,240

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Solution

The third proportional to 35,528 and 76,240 is: 163,604.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,528 : 76,240 = 76,240 : x
  2. Step 2: Convert to fraction form
    35,528/76,240 = 76,240/x
  3. Step 3: Cross multiply
    35,528x = 76,240 × 76,240
  4. Step 4: Simplify right side
    35,528x = 5,812,537,600
  5. Step 5: Solve for x
    x = 5,812,537,600/35,528
  6. Step 6: Final answer
    x = 163,604.41

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.