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Finding the Third Proportional to 27,389 and 42,291

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Solution

The third proportional to 27,389 and 42,291 is: 65,300.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,389 : 42,291 = 42,291 : x
  2. Step 2: Convert to fraction form
    27,389/42,291 = 42,291/x
  3. Step 3: Cross multiply
    27,389x = 42,291 × 42,291
  4. Step 4: Simplify right side
    27,389x = 1,788,528,681
  5. Step 5: Solve for x
    x = 1,788,528,681/27,389
  6. Step 6: Final answer
    x = 65,300.99

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.