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Finding the Third Proportional to 13,410 and 14,706

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Solution

The third proportional to 13,410 and 14,706 is: 16,127.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,410 : 14,706 = 14,706 : x
  2. Step 2: Convert to fraction form
    13,410/14,706 = 14,706/x
  3. Step 3: Cross multiply
    13,410x = 14,706 × 14,706
  4. Step 4: Simplify right side
    13,410x = 216,266,436
  5. Step 5: Solve for x
    x = 216,266,436/13,410
  6. Step 6: Final answer
    x = 16,127.25

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.