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Finding the Third Proportional to 46,152 and 62,646.75

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Solution

The third proportional to 46,152 and 62,646.75 is: 85,036.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,152 : 62,646.75 = 62,646.75 : x
  2. Step 2: Convert to fraction form
    46,152/62,646.75 = 62,646.75/x
  3. Step 3: Cross multiply
    46,152x = 62,646.75 × 62,646.75
  4. Step 4: Simplify right side
    46,152x = 3,924,615,285.56
  5. Step 5: Solve for x
    x = 3,924,615,285.56/46,152
  6. Step 6: Final answer
    x = 85,036.73

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.