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Finding the Third Proportional to 20,475 and 44,655.75

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Solution

The third proportional to 20,475 and 44,655.75 is: 97,393.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,475 : 44,655.75 = 44,655.75 : x
  2. Step 2: Convert to fraction form
    20,475/44,655.75 = 44,655.75/x
  3. Step 3: Cross multiply
    20,475x = 44,655.75 × 44,655.75
  4. Step 4: Simplify right side
    20,475x = 1,994,136,008.06
  5. Step 5: Solve for x
    x = 1,994,136,008.06/20,475
  6. Step 6: Final answer
    x = 97,393.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.