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Finding the Third Proportional to 29,403 and 35,437.50

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Solution

The third proportional to 29,403 and 35,437.50 is: 42,710.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,403 : 35,437.50 = 35,437.50 : x
  2. Step 2: Convert to fraction form
    29,403/35,437.50 = 35,437.50/x
  3. Step 3: Cross multiply
    29,403x = 35,437.50 × 35,437.50
  4. Step 4: Simplify right side
    29,403x = 1,255,816,406.25
  5. Step 5: Solve for x
    x = 1,255,816,406.25/29,403
  6. Step 6: Final answer
    x = 42,710.49

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.