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Finding the Third Proportional to 15,314.50 and 24,671.75

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Solution

The third proportional to 15,314.50 and 24,671.75 is: 39,746.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,314.50 : 24,671.75 = 24,671.75 : x
  2. Step 2: Convert to fraction form
    15,314.50/24,671.75 = 24,671.75/x
  3. Step 3: Cross multiply
    15,314.50x = 24,671.75 × 24,671.75
  4. Step 4: Simplify right side
    15,314.50x = 608,695,248.06
  5. Step 5: Solve for x
    x = 608,695,248.06/15,314.50
  6. Step 6: Final answer
    x = 39,746.34

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.