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Finding the Third Proportional to 10,444.50 and 24,639

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Solution

The third proportional to 10,444.50 and 24,639 is: 58,124.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,444.50 : 24,639 = 24,639 : x
  2. Step 2: Convert to fraction form
    10,444.50/24,639 = 24,639/x
  3. Step 3: Cross multiply
    10,444.50x = 24,639 × 24,639
  4. Step 4: Simplify right side
    10,444.50x = 607,080,321
  5. Step 5: Solve for x
    x = 607,080,321/10,444.50
  6. Step 6: Final answer
    x = 58,124.40

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.