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Finding the Third Proportional to 30,304.76 and 48,122.54

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Solution

The third proportional to 30,304.76 and 48,122.54 is: 76,416.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,304.76 : 48,122.54 = 48,122.54 : x
  2. Step 2: Convert to fraction form
    30,304.76/48,122.54 = 48,122.54/x
  3. Step 3: Cross multiply
    30,304.76x = 48,122.54 × 48,122.54
  4. Step 4: Simplify right side
    30,304.76x = 2,315,779,141.78
  5. Step 5: Solve for x
    x = 2,315,779,141.78/30,304.76
  6. Step 6: Final answer
    x = 76,416.36

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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.