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Finding the Third Proportional to 35,718 and 53,154

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Solution

The third proportional to 35,718 and 53,154 is: 79,101.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,718 : 53,154 = 53,154 : x
  2. Step 2: Convert to fraction form
    35,718/53,154 = 53,154/x
  3. Step 3: Cross multiply
    35,718x = 53,154 × 53,154
  4. Step 4: Simplify right side
    35,718x = 2,825,347,716
  5. Step 5: Solve for x
    x = 2,825,347,716/35,718
  6. Step 6: Final answer
    x = 79,101.51

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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.