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Finding the Third Proportional to 52,028 and 74,352

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Solution

The third proportional to 52,028 and 74,352 is: 106,254.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,028 : 74,352 = 74,352 : x
  2. Step 2: Convert to fraction form
    52,028/74,352 = 74,352/x
  3. Step 3: Cross multiply
    52,028x = 74,352 × 74,352
  4. Step 4: Simplify right side
    52,028x = 5,528,219,904
  5. Step 5: Solve for x
    x = 5,528,219,904/52,028
  6. Step 6: Final answer
    x = 106,254.71

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.