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Finding the Third Proportional to 34,295.63 and 74,875.13

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Solution

The third proportional to 34,295.63 and 74,875.13 is: 163,469.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,295.63 : 74,875.13 = 74,875.13 : x
  2. Step 2: Convert to fraction form
    34,295.63/74,875.13 = 74,875.13/x
  3. Step 3: Cross multiply
    34,295.63x = 74,875.13 × 74,875.13
  4. Step 4: Simplify right side
    34,295.63x = 5,606,284,343.77
  5. Step 5: Solve for x
    x = 5,606,284,343.77/34,295.63
  6. Step 6: Final answer
    x = 163,469.37

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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.