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Finding the Third Proportional to 7,362.88 and 15,346.63

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Solution

The third proportional to 7,362.88 and 15,346.63 is: 31,987.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,362.88 : 15,346.63 = 15,346.63 : x
  2. Step 2: Convert to fraction form
    7,362.88/15,346.63 = 15,346.63/x
  3. Step 3: Cross multiply
    7,362.88x = 15,346.63 × 15,346.63
  4. Step 4: Simplify right side
    7,362.88x = 235,518,898.89
  5. Step 5: Solve for x
    x = 235,518,898.89/7,362.88
  6. Step 6: Final answer
    x = 31,987.36

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.