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Finding the Third Proportional to 10,513 and 15,813

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Solution

The third proportional to 10,513 and 15,813 is: 23,784.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,513 : 15,813 = 15,813 : x
  2. Step 2: Convert to fraction form
    10,513/15,813 = 15,813/x
  3. Step 3: Cross multiply
    10,513x = 15,813 × 15,813
  4. Step 4: Simplify right side
    10,513x = 250,050,969
  5. Step 5: Solve for x
    x = 250,050,969/10,513
  6. Step 6: Final answer
    x = 23,784.93

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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.