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Finding the Third Proportional to 14,569.88 and 31,734.28

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Solution

The third proportional to 14,569.88 and 31,734.28 is: 69,119.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,569.88 : 31,734.28 = 31,734.28 : x
  2. Step 2: Convert to fraction form
    14,569.88/31,734.28 = 31,734.28/x
  3. Step 3: Cross multiply
    14,569.88x = 31,734.28 × 31,734.28
  4. Step 4: Simplify right side
    14,569.88x = 1,007,064,606.45
  5. Step 5: Solve for x
    x = 1,007,064,606.45/14,569.88
  6. Step 6: Final answer
    x = 69,119.65

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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.