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Finding the Third Proportional to 41,520 and 63,499.50

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Solution

The third proportional to 41,520 and 63,499.50 is: 97,114.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,520 : 63,499.50 = 63,499.50 : x
  2. Step 2: Convert to fraction form
    41,520/63,499.50 = 63,499.50/x
  3. Step 3: Cross multiply
    41,520x = 63,499.50 × 63,499.50
  4. Step 4: Simplify right side
    41,520x = 4,032,186,500.25
  5. Step 5: Solve for x
    x = 4,032,186,500.25/41,520
  6. Step 6: Final answer
    x = 97,114.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.