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Finding the Third Proportional to 53,353.69 and 70,006.78

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Solution

The third proportional to 53,353.69 and 70,006.78 is: 91,857.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,353.69 : 70,006.78 = 70,006.78 : x
  2. Step 2: Convert to fraction form
    53,353.69/70,006.78 = 70,006.78/x
  3. Step 3: Cross multiply
    53,353.69x = 70,006.78 × 70,006.78
  4. Step 4: Simplify right side
    53,353.69x = 4,900,949,420.99
  5. Step 5: Solve for x
    x = 4,900,949,420.99/53,353.69
  6. Step 6: Final answer
    x = 91,857.74

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.