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Finding the Third Proportional to 10,332 and 14,013

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Solution

The third proportional to 10,332 and 14,013 is: 19,005.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,332 : 14,013 = 14,013 : x
  2. Step 2: Convert to fraction form
    10,332/14,013 = 14,013/x
  3. Step 3: Cross multiply
    10,332x = 14,013 × 14,013
  4. Step 4: Simplify right side
    10,332x = 196,364,169
  5. Step 5: Solve for x
    x = 196,364,169/10,332
  6. Step 6: Final answer
    x = 19,005.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.