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Finding the Third Proportional to 17,655 and 26,070

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Solution

The third proportional to 17,655 and 26,070 is: 38,495.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,655 : 26,070 = 26,070 : x
  2. Step 2: Convert to fraction form
    17,655/26,070 = 26,070/x
  3. Step 3: Cross multiply
    17,655x = 26,070 × 26,070
  4. Step 4: Simplify right side
    17,655x = 679,644,900
  5. Step 5: Solve for x
    x = 679,644,900/17,655
  6. Step 6: Final answer
    x = 38,495.89

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.