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Finding the Third Proportional to 35,929.13 and 75,579.19

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Solution

The third proportional to 35,929.13 and 75,579.19 is: 158,985.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,929.13 : 75,579.19 = 75,579.19 : x
  2. Step 2: Convert to fraction form
    35,929.13/75,579.19 = 75,579.19/x
  3. Step 3: Cross multiply
    35,929.13x = 75,579.19 × 75,579.19
  4. Step 4: Simplify right side
    35,929.13x = 5,712,213,583.16
  5. Step 5: Solve for x
    x = 5,712,213,583.16/35,929.13
  6. Step 6: Final answer
    x = 158,985.60

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.