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Finding the Third Proportional to 35,509.50 and 77,700.94

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Solution

The third proportional to 35,509.50 and 77,700.94 is: 170,023.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,509.50 : 77,700.94 = 77,700.94 : x
  2. Step 2: Convert to fraction form
    35,509.50/77,700.94 = 77,700.94/x
  3. Step 3: Cross multiply
    35,509.50x = 77,700.94 × 77,700.94
  4. Step 4: Simplify right side
    35,509.50x = 6,037,435,688.38
  5. Step 5: Solve for x
    x = 6,037,435,688.38/35,509.50
  6. Step 6: Final answer
    x = 170,023.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.