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Finding the Third Proportional to 35,776.69 and 53,056.69

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Solution

The third proportional to 35,776.69 and 53,056.69 is: 78,682.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,776.69 : 53,056.69 = 53,056.69 : x
  2. Step 2: Convert to fraction form
    35,776.69/53,056.69 = 53,056.69/x
  3. Step 3: Cross multiply
    35,776.69x = 53,056.69 × 53,056.69
  4. Step 4: Simplify right side
    35,776.69x = 2,815,012,088.47
  5. Step 5: Solve for x
    x = 2,815,012,088.47/35,776.69
  6. Step 6: Final answer
    x = 78,682.86

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.