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Finding the Third Proportional to 35,957.50 and 78,403

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Solution

The third proportional to 35,957.50 and 78,403 is: 170,952.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,957.50 : 78,403 = 78,403 : x
  2. Step 2: Convert to fraction form
    35,957.50/78,403 = 78,403/x
  3. Step 3: Cross multiply
    35,957.50x = 78,403 × 78,403
  4. Step 4: Simplify right side
    35,957.50x = 6,147,030,409
  5. Step 5: Solve for x
    x = 6,147,030,409/35,957.50
  6. Step 6: Final answer
    x = 170,952.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.