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Finding the Third Proportional to 10,276.88 and 13,532.06

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Solution

The third proportional to 10,276.88 and 13,532.06 is: 17,818.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,276.88 : 13,532.06 = 13,532.06 : x
  2. Step 2: Convert to fraction form
    10,276.88/13,532.06 = 13,532.06/x
  3. Step 3: Cross multiply
    10,276.88x = 13,532.06 × 13,532.06
  4. Step 4: Simplify right side
    10,276.88x = 183,116,715.50
  5. Step 5: Solve for x
    x = 183,116,715.50/10,276.88
  6. Step 6: Final answer
    x = 17,818.33

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.