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Finding the Third Proportional to 24,070.76 and 51,947.37

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Solution

The third proportional to 24,070.76 and 51,947.37 is: 112,108.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,070.76 : 51,947.37 = 51,947.37 : x
  2. Step 2: Convert to fraction form
    24,070.76/51,947.37 = 51,947.37/x
  3. Step 3: Cross multiply
    24,070.76x = 51,947.37 × 51,947.37
  4. Step 4: Simplify right side
    24,070.76x = 2,698,528,957.71
  5. Step 5: Solve for x
    x = 2,698,528,957.71/24,070.76
  6. Step 6: Final answer
    x = 112,108.16

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.