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Finding the Third Proportional to 35,073 and 74,354.63

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Solution

The third proportional to 35,073 and 74,354.63 is: 157,631.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,073 : 74,354.63 = 74,354.63 : x
  2. Step 2: Convert to fraction form
    35,073/74,354.63 = 74,354.63/x
  3. Step 3: Cross multiply
    35,073x = 74,354.63 × 74,354.63
  4. Step 4: Simplify right side
    35,073x = 5,528,610,258.89
  5. Step 5: Solve for x
    x = 5,528,610,258.89/35,073
  6. Step 6: Final answer
    x = 157,631.52

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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.