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Finding the Third Proportional to 35,428 and 52,458

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Solution

The third proportional to 35,428 and 52,458 is: 77,674.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,428 : 52,458 = 52,458 : x
  2. Step 2: Convert to fraction form
    35,428/52,458 = 52,458/x
  3. Step 3: Cross multiply
    35,428x = 52,458 × 52,458
  4. Step 4: Simplify right side
    35,428x = 2,751,841,764
  5. Step 5: Solve for x
    x = 2,751,841,764/35,428
  6. Step 6: Final answer
    x = 77,674.21

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.