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Finding the Third Proportional to 13,509 and 23,089.50

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Solution

The third proportional to 13,509 and 23,089.50 is: 39,464.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,509 : 23,089.50 = 23,089.50 : x
  2. Step 2: Convert to fraction form
    13,509/23,089.50 = 23,089.50/x
  3. Step 3: Cross multiply
    13,509x = 23,089.50 × 23,089.50
  4. Step 4: Simplify right side
    13,509x = 533,125,010.25
  5. Step 5: Solve for x
    x = 533,125,010.25/13,509
  6. Step 6: Final answer
    x = 39,464.43

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.