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Finding the Third Proportional to 55,825.50 and 79,587

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Solution

The third proportional to 55,825.50 and 79,587 is: 113,462.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,825.50 : 79,587 = 79,587 : x
  2. Step 2: Convert to fraction form
    55,825.50/79,587 = 79,587/x
  3. Step 3: Cross multiply
    55,825.50x = 79,587 × 79,587
  4. Step 4: Simplify right side
    55,825.50x = 6,334,090,569
  5. Step 5: Solve for x
    x = 6,334,090,569/55,825.50
  6. Step 6: Final answer
    x = 113,462.32

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.