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Finding the Third Proportional to 24,804 and 38,416.50

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Solution

The third proportional to 24,804 and 38,416.50 is: 59,499.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,804 : 38,416.50 = 38,416.50 : x
  2. Step 2: Convert to fraction form
    24,804/38,416.50 = 38,416.50/x
  3. Step 3: Cross multiply
    24,804x = 38,416.50 × 38,416.50
  4. Step 4: Simplify right side
    24,804x = 1,475,827,472.25
  5. Step 5: Solve for x
    x = 1,475,827,472.25/24,804
  6. Step 6: Final answer
    x = 59,499.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.