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Finding the Third Proportional to 20,829.25 and 44,985.50

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Solution

The third proportional to 20,829.25 and 44,985.50 is: 97,156.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,829.25 : 44,985.50 = 44,985.50 : x
  2. Step 2: Convert to fraction form
    20,829.25/44,985.50 = 44,985.50/x
  3. Step 3: Cross multiply
    20,829.25x = 44,985.50 × 44,985.50
  4. Step 4: Simplify right side
    20,829.25x = 2,023,695,210.25
  5. Step 5: Solve for x
    x = 2,023,695,210.25/20,829.25
  6. Step 6: Final answer
    x = 97,156.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.