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Finding the Third Proportional to 9,325.13 and 15,445.69

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Solution

The third proportional to 9,325.13 and 15,445.69 is: 25,583.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,325.13 : 15,445.69 = 15,445.69 : x
  2. Step 2: Convert to fraction form
    9,325.13/15,445.69 = 15,445.69/x
  3. Step 3: Cross multiply
    9,325.13x = 15,445.69 × 15,445.69
  4. Step 4: Simplify right side
    9,325.13x = 238,569,262.35
  5. Step 5: Solve for x
    x = 238,569,262.35/9,325.13
  6. Step 6: Final answer
    x = 25,583.49

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.