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Finding the Third Proportional to 46,560 and 66,498

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Solution

The third proportional to 46,560 and 66,498 is: 94,973.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,560 : 66,498 = 66,498 : x
  2. Step 2: Convert to fraction form
    46,560/66,498 = 66,498/x
  3. Step 3: Cross multiply
    46,560x = 66,498 × 66,498
  4. Step 4: Simplify right side
    46,560x = 4,421,984,004
  5. Step 5: Solve for x
    x = 4,421,984,004/46,560
  6. Step 6: Final answer
    x = 94,973.88

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.