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Finding the Third Proportional to 24,913.13 and 53,056.13

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Solution

The third proportional to 24,913.13 and 53,056.13 is: 112,990.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,913.13 : 53,056.13 = 53,056.13 : x
  2. Step 2: Convert to fraction form
    24,913.13/53,056.13 = 53,056.13/x
  3. Step 3: Cross multiply
    24,913.13x = 53,056.13 × 53,056.13
  4. Step 4: Simplify right side
    24,913.13x = 2,814,952,400.02
  5. Step 5: Solve for x
    x = 2,814,952,400.02/24,913.13
  6. Step 6: Final answer
    x = 112,990.74

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.