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Finding the Third Proportional to 35,032.50 and 71,701.88

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Solution

The third proportional to 35,032.50 and 71,701.88 is: 146,753.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,032.50 : 71,701.88 = 71,701.88 : x
  2. Step 2: Convert to fraction form
    35,032.50/71,701.88 = 71,701.88/x
  3. Step 3: Cross multiply
    35,032.50x = 71,701.88 × 71,701.88
  4. Step 4: Simplify right side
    35,032.50x = 5,141,158,878.52
  5. Step 5: Solve for x
    x = 5,141,158,878.52/35,032.50
  6. Step 6: Final answer
    x = 146,753.98

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.