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Finding the Third Proportional to 34,785 and 75,780

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Solution

The third proportional to 34,785 and 75,780 is: 165,088.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,785 : 75,780 = 75,780 : x
  2. Step 2: Convert to fraction form
    34,785/75,780 = 75,780/x
  3. Step 3: Cross multiply
    34,785x = 75,780 × 75,780
  4. Step 4: Simplify right side
    34,785x = 5,742,608,400
  5. Step 5: Solve for x
    x = 5,742,608,400/34,785
  6. Step 6: Final answer
    x = 165,088.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.