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Finding the Third Proportional to 15,655.36 and 24,212.25

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Solution

The third proportional to 15,655.36 and 24,212.25 is: 37,446.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,655.36 : 24,212.25 = 24,212.25 : x
  2. Step 2: Convert to fraction form
    15,655.36/24,212.25 = 24,212.25/x
  3. Step 3: Cross multiply
    15,655.36x = 24,212.25 × 24,212.25
  4. Step 4: Simplify right side
    15,655.36x = 586,233,050.06
  5. Step 5: Solve for x
    x = 586,233,050.06/15,655.36
  6. Step 6: Final answer
    x = 37,446.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.