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Finding the Third Proportional to 35,505 and 53,347.50

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Solution

The third proportional to 35,505 and 53,347.50 is: 80,156.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,505 : 53,347.50 = 53,347.50 : x
  2. Step 2: Convert to fraction form
    35,505/53,347.50 = 53,347.50/x
  3. Step 3: Cross multiply
    35,505x = 53,347.50 × 53,347.50
  4. Step 4: Simplify right side
    35,505x = 2,845,955,756.25
  5. Step 5: Solve for x
    x = 2,845,955,756.25/35,505
  6. Step 6: Final answer
    x = 80,156.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.