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Finding the Third Proportional to 34,637.63 and 75,340.13

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Solution

The third proportional to 34,637.63 and 75,340.13 is: 163,871.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,637.63 : 75,340.13 = 75,340.13 : x
  2. Step 2: Convert to fraction form
    34,637.63/75,340.13 = 75,340.13/x
  3. Step 3: Cross multiply
    34,637.63x = 75,340.13 × 75,340.13
  4. Step 4: Simplify right side
    34,637.63x = 5,676,134,435.02
  5. Step 5: Solve for x
    x = 5,676,134,435.02/34,637.63
  6. Step 6: Final answer
    x = 163,871.93

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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.