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Finding the Third Proportional to 46,715 and 70,559

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Solution

The third proportional to 46,715 and 70,559 is: 106,573.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,715 : 70,559 = 70,559 : x
  2. Step 2: Convert to fraction form
    46,715/70,559 = 70,559/x
  3. Step 3: Cross multiply
    46,715x = 70,559 × 70,559
  4. Step 4: Simplify right side
    46,715x = 4,978,572,481
  5. Step 5: Solve for x
    x = 4,978,572,481/46,715
  6. Step 6: Final answer
    x = 106,573.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.