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Finding the Third Proportional to 35,953.50 and 75,625.13

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Solution

The third proportional to 35,953.50 and 75,625.13 is: 159,071.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,953.50 : 75,625.13 = 75,625.13 : x
  2. Step 2: Convert to fraction form
    35,953.50/75,625.13 = 75,625.13/x
  3. Step 3: Cross multiply
    35,953.50x = 75,625.13 × 75,625.13
  4. Step 4: Simplify right side
    35,953.50x = 5,719,159,531.27
  5. Step 5: Solve for x
    x = 5,719,159,531.27/35,953.50
  6. Step 6: Final answer
    x = 159,071.01

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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.