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Finding the Third Proportional to 15,328.13 and 23,437.69

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Solution

The third proportional to 15,328.13 and 23,437.69 is: 35,837.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,328.13 : 23,437.69 = 23,437.69 : x
  2. Step 2: Convert to fraction form
    15,328.13/23,437.69 = 23,437.69/x
  3. Step 3: Cross multiply
    15,328.13x = 23,437.69 × 23,437.69
  4. Step 4: Simplify right side
    15,328.13x = 549,325,195.35
  5. Step 5: Solve for x
    x = 549,325,195.35/15,328.13
  6. Step 6: Final answer
    x = 35,837.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.