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Finding the Third Proportional to 14,583.06 and 31,165.17

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Solution

The third proportional to 14,583.06 and 31,165.17 is: 66,602.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,583.06 : 31,165.17 = 31,165.17 : x
  2. Step 2: Convert to fraction form
    14,583.06/31,165.17 = 31,165.17/x
  3. Step 3: Cross multiply
    14,583.06x = 31,165.17 × 31,165.17
  4. Step 4: Simplify right side
    14,583.06x = 971,267,938.00
  5. Step 5: Solve for x
    x = 971,267,938.00/14,583.06
  6. Step 6: Final answer
    x = 66,602.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.