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Finding the Third Proportional to 19,587.50 and 43,063

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Solution

The third proportional to 19,587.50 and 43,063 is: 94,673.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,587.50 : 43,063 = 43,063 : x
  2. Step 2: Convert to fraction form
    19,587.50/43,063 = 43,063/x
  3. Step 3: Cross multiply
    19,587.50x = 43,063 × 43,063
  4. Step 4: Simplify right side
    19,587.50x = 1,854,421,969
  5. Step 5: Solve for x
    x = 1,854,421,969/19,587.50
  6. Step 6: Final answer
    x = 94,673.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.