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Finding the Third Proportional to 30,413 and 48,429.75

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Solution

The third proportional to 30,413 and 48,429.75 is: 77,119.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,413 : 48,429.75 = 48,429.75 : x
  2. Step 2: Convert to fraction form
    30,413/48,429.75 = 48,429.75/x
  3. Step 3: Cross multiply
    30,413x = 48,429.75 × 48,429.75
  4. Step 4: Simplify right side
    30,413x = 2,345,440,685.06
  5. Step 5: Solve for x
    x = 2,345,440,685.06/30,413
  6. Step 6: Final answer
    x = 77,119.68

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.