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Finding the Third Proportional to 35,672.50 and 53,411

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Solution

The third proportional to 35,672.50 and 53,411 is: 79,970.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,672.50 : 53,411 = 53,411 : x
  2. Step 2: Convert to fraction form
    35,672.50/53,411 = 53,411/x
  3. Step 3: Cross multiply
    35,672.50x = 53,411 × 53,411
  4. Step 4: Simplify right side
    35,672.50x = 2,852,734,921
  5. Step 5: Solve for x
    x = 2,852,734,921/35,672.50
  6. Step 6: Final answer
    x = 79,970.14

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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.