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Finding the Third Proportional to 35,731.75 and 52,527

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Solution

The third proportional to 35,731.75 and 52,527 is: 77,216.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,731.75 : 52,527 = 52,527 : x
  2. Step 2: Convert to fraction form
    35,731.75/52,527 = 52,527/x
  3. Step 3: Cross multiply
    35,731.75x = 52,527 × 52,527
  4. Step 4: Simplify right side
    35,731.75x = 2,759,085,729
  5. Step 5: Solve for x
    x = 2,759,085,729/35,731.75
  6. Step 6: Final answer
    x = 77,216.64

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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.