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Finding the Third Proportional to 14,913 and 40,423.50

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Solution

The third proportional to 14,913 and 40,423.50 is: 109,572.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,913 : 40,423.50 = 40,423.50 : x
  2. Step 2: Convert to fraction form
    14,913/40,423.50 = 40,423.50/x
  3. Step 3: Cross multiply
    14,913x = 40,423.50 × 40,423.50
  4. Step 4: Simplify right side
    14,913x = 1,634,059,352.25
  5. Step 5: Solve for x
    x = 1,634,059,352.25/14,913
  6. Step 6: Final answer
    x = 109,572.81

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Why These Related Problems?

These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.