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Finding the Third Proportional to 24,602.75 and 39,166.50

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Solution

The third proportional to 24,602.75 and 39,166.50 is: 62,351.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,602.75 : 39,166.50 = 39,166.50 : x
  2. Step 2: Convert to fraction form
    24,602.75/39,166.50 = 39,166.50/x
  3. Step 3: Cross multiply
    24,602.75x = 39,166.50 × 39,166.50
  4. Step 4: Simplify right side
    24,602.75x = 1,534,014,722.25
  5. Step 5: Solve for x
    x = 1,534,014,722.25/24,602.75
  6. Step 6: Final answer
    x = 62,351.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.