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Finding the Third Proportional to 31,124.88 and 46,710.11

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Solution

The third proportional to 31,124.88 and 46,710.11 is: 70,099.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,124.88 : 46,710.11 = 46,710.11 : x
  2. Step 2: Convert to fraction form
    31,124.88/46,710.11 = 46,710.11/x
  3. Step 3: Cross multiply
    31,124.88x = 46,710.11 × 46,710.11
  4. Step 4: Simplify right side
    31,124.88x = 2,181,833,952.90
  5. Step 5: Solve for x
    x = 2,181,833,952.90/31,124.88
  6. Step 6: Final answer
    x = 70,099.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.