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Finding the Third Proportional to 35,298.75 and 77,509.50

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Solution

The third proportional to 35,298.75 and 77,509.50 is: 170,196.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,298.75 : 77,509.50 = 77,509.50 : x
  2. Step 2: Convert to fraction form
    35,298.75/77,509.50 = 77,509.50/x
  3. Step 3: Cross multiply
    35,298.75x = 77,509.50 × 77,509.50
  4. Step 4: Simplify right side
    35,298.75x = 6,007,722,590.25
  5. Step 5: Solve for x
    x = 6,007,722,590.25/35,298.75
  6. Step 6: Final answer
    x = 170,196.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.