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Finding the Third Proportional to 35,784 and 52,582

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Solution

The third proportional to 35,784 and 52,582 is: 77,265.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,784 : 52,582 = 52,582 : x
  2. Step 2: Convert to fraction form
    35,784/52,582 = 52,582/x
  3. Step 3: Cross multiply
    35,784x = 52,582 × 52,582
  4. Step 4: Simplify right side
    35,784x = 2,764,866,724
  5. Step 5: Solve for x
    x = 2,764,866,724/35,784
  6. Step 6: Final answer
    x = 77,265.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.