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Finding the Third Proportional to 15,417 and 23,063.06

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Solution

The third proportional to 15,417 and 23,063.06 is: 34,501.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,417 : 23,063.06 = 23,063.06 : x
  2. Step 2: Convert to fraction form
    15,417/23,063.06 = 23,063.06/x
  3. Step 3: Cross multiply
    15,417x = 23,063.06 × 23,063.06
  4. Step 4: Simplify right side
    15,417x = 531,904,851.88
  5. Step 5: Solve for x
    x = 531,904,851.88/15,417
  6. Step 6: Final answer
    x = 34,501.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.