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Finding the Third Proportional to 10,582.88 and 22,987.13

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Solution

The third proportional to 10,582.88 and 22,987.13 is: 49,930.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,582.88 : 22,987.13 = 22,987.13 : x
  2. Step 2: Convert to fraction form
    10,582.88/22,987.13 = 22,987.13/x
  3. Step 3: Cross multiply
    10,582.88x = 22,987.13 × 22,987.13
  4. Step 4: Simplify right side
    10,582.88x = 528,407,915.77
  5. Step 5: Solve for x
    x = 528,407,915.77/10,582.88
  6. Step 6: Final answer
    x = 49,930.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.