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Finding the Third Proportional to 34,989.75 and 40,677.75

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Solution

The third proportional to 34,989.75 and 40,677.75 is: 47,290.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,989.75 : 40,677.75 = 40,677.75 : x
  2. Step 2: Convert to fraction form
    34,989.75/40,677.75 = 40,677.75/x
  3. Step 3: Cross multiply
    34,989.75x = 40,677.75 × 40,677.75
  4. Step 4: Simplify right side
    34,989.75x = 1,654,679,345.06
  5. Step 5: Solve for x
    x = 1,654,679,345.06/34,989.75
  6. Step 6: Final answer
    x = 47,290.40

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.