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Finding the Third Proportional to 58,331.50 and 88,032

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Solution

The third proportional to 58,331.50 and 88,032 is: 132,855.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,331.50 : 88,032 = 88,032 : x
  2. Step 2: Convert to fraction form
    58,331.50/88,032 = 88,032/x
  3. Step 3: Cross multiply
    58,331.50x = 88,032 × 88,032
  4. Step 4: Simplify right side
    58,331.50x = 7,749,633,024
  5. Step 5: Solve for x
    x = 7,749,633,024/58,331.50
  6. Step 6: Final answer
    x = 132,855.03

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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.