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Finding the Third Proportional to 19,045.13 and 27,588.09

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Solution

The third proportional to 19,045.13 and 27,588.09 is: 39,963.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,045.13 : 27,588.09 = 27,588.09 : x
  2. Step 2: Convert to fraction form
    19,045.13/27,588.09 = 27,588.09/x
  3. Step 3: Cross multiply
    19,045.13x = 27,588.09 × 27,588.09
  4. Step 4: Simplify right side
    19,045.13x = 761,102,916.76
  5. Step 5: Solve for x
    x = 761,102,916.76/19,045.13
  6. Step 6: Final answer
    x = 39,963.14

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.