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Finding the Third Proportional to 27,132.47 and 39,878.58

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Solution

The third proportional to 27,132.47 and 39,878.58 is: 58,612.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,132.47 : 39,878.58 = 39,878.58 : x
  2. Step 2: Convert to fraction form
    27,132.47/39,878.58 = 39,878.58/x
  3. Step 3: Cross multiply
    27,132.47x = 39,878.58 × 39,878.58
  4. Step 4: Simplify right side
    27,132.47x = 1,590,300,993.27
  5. Step 5: Solve for x
    x = 1,590,300,993.27/27,132.47
  6. Step 6: Final answer
    x = 58,612.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.