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Finding the Third Proportional to 15,054.75 and 34,862.63

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Solution

The third proportional to 15,054.75 and 34,862.63 is: 80,732.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,054.75 : 34,862.63 = 34,862.63 : x
  2. Step 2: Convert to fraction form
    15,054.75/34,862.63 = 34,862.63/x
  3. Step 3: Cross multiply
    15,054.75x = 34,862.63 × 34,862.63
  4. Step 4: Simplify right side
    15,054.75x = 1,215,402,621.89
  5. Step 5: Solve for x
    x = 1,215,402,621.89/15,054.75
  6. Step 6: Final answer
    x = 80,732.17

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.