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Finding the Third Proportional to 24,148.50 and 44,733

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Solution

The third proportional to 24,148.50 and 44,733 is: 82,864.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,148.50 : 44,733 = 44,733 : x
  2. Step 2: Convert to fraction form
    24,148.50/44,733 = 44,733/x
  3. Step 3: Cross multiply
    24,148.50x = 44,733 × 44,733
  4. Step 4: Simplify right side
    24,148.50x = 2,001,041,289
  5. Step 5: Solve for x
    x = 2,001,041,289/24,148.50
  6. Step 6: Final answer
    x = 82,864.00

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.