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Finding the Third Proportional to 47,919.50 and 74,411

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Solution

The third proportional to 47,919.50 and 74,411 is: 115,547.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,919.50 : 74,411 = 74,411 : x
  2. Step 2: Convert to fraction form
    47,919.50/74,411 = 74,411/x
  3. Step 3: Cross multiply
    47,919.50x = 74,411 × 74,411
  4. Step 4: Simplify right side
    47,919.50x = 5,536,996,921
  5. Step 5: Solve for x
    x = 5,536,996,921/47,919.50
  6. Step 6: Final answer
    x = 115,547.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.