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Finding the Third Proportional to 35,428 and 53,054

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Solution

The third proportional to 35,428 and 53,054 is: 79,449.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,428 : 53,054 = 53,054 : x
  2. Step 2: Convert to fraction form
    35,428/53,054 = 53,054/x
  3. Step 3: Cross multiply
    35,428x = 53,054 × 53,054
  4. Step 4: Simplify right side
    35,428x = 2,814,726,916
  5. Step 5: Solve for x
    x = 2,814,726,916/35,428
  6. Step 6: Final answer
    x = 79,449.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.