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Finding the Third Proportional to 35,824 and 53,472

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Solution

The third proportional to 35,824 and 53,472 is: 79,813.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,824 : 53,472 = 53,472 : x
  2. Step 2: Convert to fraction form
    35,824/53,472 = 53,472/x
  3. Step 3: Cross multiply
    35,824x = 53,472 × 53,472
  4. Step 4: Simplify right side
    35,824x = 2,859,254,784
  5. Step 5: Solve for x
    x = 2,859,254,784/35,824
  6. Step 6: Final answer
    x = 79,813.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.