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Finding the Third Proportional to 14,956.50 and 32,415

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Solution

The third proportional to 14,956.50 and 32,415 is: 70,252.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,956.50 : 32,415 = 32,415 : x
  2. Step 2: Convert to fraction form
    14,956.50/32,415 = 32,415/x
  3. Step 3: Cross multiply
    14,956.50x = 32,415 × 32,415
  4. Step 4: Simplify right side
    14,956.50x = 1,050,732,225
  5. Step 5: Solve for x
    x = 1,050,732,225/14,956.50
  6. Step 6: Final answer
    x = 70,252.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.