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Finding the Third Proportional to 35,528.06 and 77,032.13

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Solution

The third proportional to 35,528.06 and 77,032.13 is: 167,021.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,528.06 : 77,032.13 = 77,032.13 : x
  2. Step 2: Convert to fraction form
    35,528.06/77,032.13 = 77,032.13/x
  3. Step 3: Cross multiply
    35,528.06x = 77,032.13 × 77,032.13
  4. Step 4: Simplify right side
    35,528.06x = 5,933,948,282.02
  5. Step 5: Solve for x
    x = 5,933,948,282.02/35,528.06
  6. Step 6: Final answer
    x = 167,021.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.