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Finding the Third Proportional to 34,970.63 and 75,468.38

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Solution

The third proportional to 34,970.63 and 75,468.38 is: 162,864.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,970.63 : 75,468.38 = 75,468.38 : x
  2. Step 2: Convert to fraction form
    34,970.63/75,468.38 = 75,468.38/x
  3. Step 3: Cross multiply
    34,970.63x = 75,468.38 × 75,468.38
  4. Step 4: Simplify right side
    34,970.63x = 5,695,475,625.14
  5. Step 5: Solve for x
    x = 5,695,475,625.14/34,970.63
  6. Step 6: Final answer
    x = 162,864.56

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.