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Finding the Third Proportional to 17,605.50 and 38,445

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Solution

The third proportional to 17,605.50 and 38,445 is: 83,952.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,605.50 : 38,445 = 38,445 : x
  2. Step 2: Convert to fraction form
    17,605.50/38,445 = 38,445/x
  3. Step 3: Cross multiply
    17,605.50x = 38,445 × 38,445
  4. Step 4: Simplify right side
    17,605.50x = 1,478,018,025
  5. Step 5: Solve for x
    x = 1,478,018,025/17,605.50
  6. Step 6: Final answer
    x = 83,952.06

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.