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Finding the Third Proportional to 44,385 and 96,987

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Solution

The third proportional to 44,385 and 96,987 is: 211,929.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,385 : 96,987 = 96,987 : x
  2. Step 2: Convert to fraction form
    44,385/96,987 = 96,987/x
  3. Step 3: Cross multiply
    44,385x = 96,987 × 96,987
  4. Step 4: Simplify right side
    44,385x = 9,406,478,169
  5. Step 5: Solve for x
    x = 9,406,478,169/44,385
  6. Step 6: Final answer
    x = 211,929.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.