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Finding the Third Proportional to 35,735 and 52,532

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Solution

The third proportional to 35,735 and 52,532 is: 77,224.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,735 : 52,532 = 52,532 : x
  2. Step 2: Convert to fraction form
    35,735/52,532 = 52,532/x
  3. Step 3: Cross multiply
    35,735x = 52,532 × 52,532
  4. Step 4: Simplify right side
    35,735x = 2,759,611,024
  5. Step 5: Solve for x
    x = 2,759,611,024/35,735
  6. Step 6: Final answer
    x = 77,224.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.