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Finding the Third Proportional to 42,467.10 and 59,518.86

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Solution

The third proportional to 42,467.10 and 59,518.86 is: 83,417.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,467.10 : 59,518.86 = 59,518.86 : x
  2. Step 2: Convert to fraction form
    42,467.10/59,518.86 = 59,518.86/x
  3. Step 3: Cross multiply
    42,467.10x = 59,518.86 × 59,518.86
  4. Step 4: Simplify right side
    42,467.10x = 3,542,495,086.29
  5. Step 5: Solve for x
    x = 3,542,495,086.29/42,467.10
  6. Step 6: Final answer
    x = 83,417.41

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.