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Finding the Third Proportional to 13,345 and 20,017.50

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Solution

The third proportional to 13,345 and 20,017.50 is: 30,026.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,345 : 20,017.50 = 20,017.50 : x
  2. Step 2: Convert to fraction form
    13,345/20,017.50 = 20,017.50/x
  3. Step 3: Cross multiply
    13,345x = 20,017.50 × 20,017.50
  4. Step 4: Simplify right side
    13,345x = 400,700,306.25
  5. Step 5: Solve for x
    x = 400,700,306.25/13,345
  6. Step 6: Final answer
    x = 30,026.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.