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Finding the Third Proportional to 48,428 and 74,050

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Solution

The third proportional to 48,428 and 74,050 is: 113,227.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,428 : 74,050 = 74,050 : x
  2. Step 2: Convert to fraction form
    48,428/74,050 = 74,050/x
  3. Step 3: Cross multiply
    48,428x = 74,050 × 74,050
  4. Step 4: Simplify right side
    48,428x = 5,483,402,500
  5. Step 5: Solve for x
    x = 5,483,402,500/48,428
  6. Step 6: Final answer
    x = 113,227.94

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.