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Finding the Third Proportional to 10,553.13 and 16,710.63

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Solution

The third proportional to 10,553.13 and 16,710.63 is: 26,460.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,553.13 : 16,710.63 = 16,710.63 : x
  2. Step 2: Convert to fraction form
    10,553.13/16,710.63 = 16,710.63/x
  3. Step 3: Cross multiply
    10,553.13x = 16,710.63 × 16,710.63
  4. Step 4: Simplify right side
    10,553.13x = 279,244,987.89
  5. Step 5: Solve for x
    x = 279,244,987.89/10,553.13
  6. Step 6: Final answer
    x = 26,460.88

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.