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Finding the Third Proportional to 35,523 and 75,370.50

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Solution

The third proportional to 35,523 and 75,370.50 is: 159,916.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,523 : 75,370.50 = 75,370.50 : x
  2. Step 2: Convert to fraction form
    35,523/75,370.50 = 75,370.50/x
  3. Step 3: Cross multiply
    35,523x = 75,370.50 × 75,370.50
  4. Step 4: Simplify right side
    35,523x = 5,680,712,270.25
  5. Step 5: Solve for x
    x = 5,680,712,270.25/35,523
  6. Step 6: Final answer
    x = 159,916.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.