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Finding the Third Proportional to 35,742 and 53,190

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Solution

The third proportional to 35,742 and 53,190 is: 79,155.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,742 : 53,190 = 53,190 : x
  2. Step 2: Convert to fraction form
    35,742/53,190 = 53,190/x
  3. Step 3: Cross multiply
    35,742x = 53,190 × 53,190
  4. Step 4: Simplify right side
    35,742x = 2,829,176,100
  5. Step 5: Solve for x
    x = 2,829,176,100/35,742
  6. Step 6: Final answer
    x = 79,155.51

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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.