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Finding the Third Proportional to 35,444.25 and 58,023

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Solution

The third proportional to 35,444.25 and 58,023 is: 94,984.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,444.25 : 58,023 = 58,023 : x
  2. Step 2: Convert to fraction form
    35,444.25/58,023 = 58,023/x
  3. Step 3: Cross multiply
    35,444.25x = 58,023 × 58,023
  4. Step 4: Simplify right side
    35,444.25x = 3,366,668,529
  5. Step 5: Solve for x
    x = 3,366,668,529/35,444.25
  6. Step 6: Final answer
    x = 94,984.90

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.