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Finding the Third Proportional to 14,869.83 and 21,746.60

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Solution

The third proportional to 14,869.83 and 21,746.60 is: 31,803.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,869.83 : 21,746.60 = 21,746.60 : x
  2. Step 2: Convert to fraction form
    14,869.83/21,746.60 = 21,746.60/x
  3. Step 3: Cross multiply
    14,869.83x = 21,746.60 × 21,746.60
  4. Step 4: Simplify right side
    14,869.83x = 472,914,679.52
  5. Step 5: Solve for x
    x = 472,914,679.52/14,869.83
  6. Step 6: Final answer
    x = 31,803.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.