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Finding the Third Proportional to 34,669.13 and 70,981.13

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Solution

The third proportional to 34,669.13 and 70,981.13 is: 145,325.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,669.13 : 70,981.13 = 70,981.13 : x
  2. Step 2: Convert to fraction form
    34,669.13/70,981.13 = 70,981.13/x
  3. Step 3: Cross multiply
    34,669.13x = 70,981.13 × 70,981.13
  4. Step 4: Simplify right side
    34,669.13x = 5,038,320,106.27
  5. Step 5: Solve for x
    x = 5,038,320,106.27/34,669.13
  6. Step 6: Final answer
    x = 145,325.85

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.