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Finding the Third Proportional to 14,368.50 and 23,071

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Solution

The third proportional to 14,368.50 and 23,071 is: 37,044.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,368.50 : 23,071 = 23,071 : x
  2. Step 2: Convert to fraction form
    14,368.50/23,071 = 23,071/x
  3. Step 3: Cross multiply
    14,368.50x = 23,071 × 23,071
  4. Step 4: Simplify right side
    14,368.50x = 532,271,041
  5. Step 5: Solve for x
    x = 532,271,041/14,368.50
  6. Step 6: Final answer
    x = 37,044.30

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.