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Finding the Third Proportional to 7,929.56 and 17,225.58

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Solution

The third proportional to 7,929.56 and 17,225.58 is: 37,419.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,929.56 : 17,225.58 = 17,225.58 : x
  2. Step 2: Convert to fraction form
    7,929.56/17,225.58 = 17,225.58/x
  3. Step 3: Cross multiply
    7,929.56x = 17,225.58 × 17,225.58
  4. Step 4: Simplify right side
    7,929.56x = 296,720,541.74
  5. Step 5: Solve for x
    x = 296,720,541.74/7,929.56
  6. Step 6: Final answer
    x = 37,419.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.