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Finding the Third Proportional to 31,041.98 and 46,657.90

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Solution

The third proportional to 31,041.98 and 46,657.90 is: 70,129.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,041.98 : 46,657.90 = 46,657.90 : x
  2. Step 2: Convert to fraction form
    31,041.98/46,657.90 = 46,657.90/x
  3. Step 3: Cross multiply
    31,041.98x = 46,657.90 × 46,657.90
  4. Step 4: Simplify right side
    31,041.98x = 2,176,959,486.60
  5. Step 5: Solve for x
    x = 2,176,959,486.60/31,041.98
  6. Step 6: Final answer
    x = 70,129.52

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