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Finding the Third Proportional to 15,773 and 32,437

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Solution

The third proportional to 15,773 and 32,437 is: 66,706.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,773 : 32,437 = 32,437 : x
  2. Step 2: Convert to fraction form
    15,773/32,437 = 32,437/x
  3. Step 3: Cross multiply
    15,773x = 32,437 × 32,437
  4. Step 4: Simplify right side
    15,773x = 1,052,158,969
  5. Step 5: Solve for x
    x = 1,052,158,969/15,773
  6. Step 6: Final answer
    x = 66,706.33

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.