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Finding the Third Proportional to 12,835 and 19,403.50

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Solution

The third proportional to 12,835 and 19,403.50 is: 29,333.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,835 : 19,403.50 = 19,403.50 : x
  2. Step 2: Convert to fraction form
    12,835/19,403.50 = 19,403.50/x
  3. Step 3: Cross multiply
    12,835x = 19,403.50 × 19,403.50
  4. Step 4: Simplify right side
    12,835x = 376,495,812.25
  5. Step 5: Solve for x
    x = 376,495,812.25/12,835
  6. Step 6: Final answer
    x = 29,333.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.