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Finding the Third Proportional to 15,752.63 and 34,394.25

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Solution

The third proportional to 15,752.63 and 34,394.25 is: 75,096.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,752.63 : 34,394.25 = 34,394.25 : x
  2. Step 2: Convert to fraction form
    15,752.63/34,394.25 = 34,394.25/x
  3. Step 3: Cross multiply
    15,752.63x = 34,394.25 × 34,394.25
  4. Step 4: Simplify right side
    15,752.63x = 1,182,964,433.06
  5. Step 5: Solve for x
    x = 1,182,964,433.06/15,752.63
  6. Step 6: Final answer
    x = 75,096.34

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Why These Related Problems?

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