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Finding the Third Proportional to 15,312.16 and 23,057.47

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Solution

The third proportional to 15,312.16 and 23,057.47 is: 34,720.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,312.16 : 23,057.47 = 23,057.47 : x
  2. Step 2: Convert to fraction form
    15,312.16/23,057.47 = 23,057.47/x
  3. Step 3: Cross multiply
    15,312.16x = 23,057.47 × 23,057.47
  4. Step 4: Simplify right side
    15,312.16x = 531,647,045.29
  5. Step 5: Solve for x
    x = 531,647,045.29/15,312.16
  6. Step 6: Final answer
    x = 34,720.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.