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Finding the Third Proportional to 35,777.95 and 53,666.93

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Solution

The third proportional to 35,777.95 and 53,666.93 is: 80,500.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,777.95 : 53,666.93 = 53,666.93 : x
  2. Step 2: Convert to fraction form
    35,777.95/53,666.93 = 53,666.93/x
  3. Step 3: Cross multiply
    35,777.95x = 53,666.93 × 53,666.93
  4. Step 4: Simplify right side
    35,777.95x = 2,880,139,342.08
  5. Step 5: Solve for x
    x = 2,880,139,342.08/35,777.95
  6. Step 6: Final answer
    x = 80,500.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.