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Finding the Third Proportional to 15,135.47 and 23,623.03

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Solution

The third proportional to 15,135.47 and 23,623.03 is: 36,870.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,135.47 : 23,623.03 = 23,623.03 : x
  2. Step 2: Convert to fraction form
    15,135.47/23,623.03 = 23,623.03/x
  3. Step 3: Cross multiply
    15,135.47x = 23,623.03 × 23,623.03
  4. Step 4: Simplify right side
    15,135.47x = 558,047,605.44
  5. Step 5: Solve for x
    x = 558,047,605.44/15,135.47
  6. Step 6: Final answer
    x = 36,870.19

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.