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Finding the Third Proportional to 38,893 and 58,695.50

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Solution

The third proportional to 38,893 and 58,695.50 is: 88,580.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,893 : 58,695.50 = 58,695.50 : x
  2. Step 2: Convert to fraction form
    38,893/58,695.50 = 58,695.50/x
  3. Step 3: Cross multiply
    38,893x = 58,695.50 × 58,695.50
  4. Step 4: Simplify right side
    38,893x = 3,445,161,720.25
  5. Step 5: Solve for x
    x = 3,445,161,720.25/38,893
  6. Step 6: Final answer
    x = 88,580.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.