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Finding the Third Proportional to 46,307 and 65,572

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Solution

The third proportional to 46,307 and 65,572 is: 92,851.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,307 : 65,572 = 65,572 : x
  2. Step 2: Convert to fraction form
    46,307/65,572 = 65,572/x
  3. Step 3: Cross multiply
    46,307x = 65,572 × 65,572
  4. Step 4: Simplify right side
    46,307x = 4,299,687,184
  5. Step 5: Solve for x
    x = 4,299,687,184/46,307
  6. Step 6: Final answer
    x = 92,851.78

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.