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Finding the Third Proportional to 15,903.84 and 24,637.92

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Solution

The third proportional to 15,903.84 and 24,637.92 is: 38,168.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,903.84 : 24,637.92 = 24,637.92 : x
  2. Step 2: Convert to fraction form
    15,903.84/24,637.92 = 24,637.92/x
  3. Step 3: Cross multiply
    15,903.84x = 24,637.92 × 24,637.92
  4. Step 4: Simplify right side
    15,903.84x = 607,027,194.32
  5. Step 5: Solve for x
    x = 607,027,194.32/15,903.84
  6. Step 6: Final answer
    x = 38,168.58

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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.