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Finding the Third Proportional to 46,507 and 67,492

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Solution

The third proportional to 46,507 and 67,492 is: 97,945.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,507 : 67,492 = 67,492 : x
  2. Step 2: Convert to fraction form
    46,507/67,492 = 67,492/x
  3. Step 3: Cross multiply
    46,507x = 67,492 × 67,492
  4. Step 4: Simplify right side
    46,507x = 4,555,170,064
  5. Step 5: Solve for x
    x = 4,555,170,064/46,507
  6. Step 6: Final answer
    x = 97,945.90

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.