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Finding the Third Proportional to 24,156 and 48,994.50

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Solution

The third proportional to 24,156 and 48,994.50 is: 99,373.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,156 : 48,994.50 = 48,994.50 : x
  2. Step 2: Convert to fraction form
    24,156/48,994.50 = 48,994.50/x
  3. Step 3: Cross multiply
    24,156x = 48,994.50 × 48,994.50
  4. Step 4: Simplify right side
    24,156x = 2,400,461,030.25
  5. Step 5: Solve for x
    x = 2,400,461,030.25/24,156
  6. Step 6: Final answer
    x = 99,373.28

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.