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Finding the Third Proportional to 46,627.88 and 70,331.63

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Solution

The third proportional to 46,627.88 and 70,331.63 is: 106,085.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,627.88 : 70,331.63 = 70,331.63 : x
  2. Step 2: Convert to fraction form
    46,627.88/70,331.63 = 70,331.63/x
  3. Step 3: Cross multiply
    46,627.88x = 70,331.63 × 70,331.63
  4. Step 4: Simplify right side
    46,627.88x = 4,946,537,475.14
  5. Step 5: Solve for x
    x = 4,946,537,475.14/46,627.88
  6. Step 6: Final answer
    x = 106,085.42

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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.