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Finding the Third Proportional to 14,229 and 31,127.63

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Solution

The third proportional to 14,229 and 31,127.63 is: 68,095.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,229 : 31,127.63 = 31,127.63 : x
  2. Step 2: Convert to fraction form
    14,229/31,127.63 = 31,127.63/x
  3. Step 3: Cross multiply
    14,229x = 31,127.63 × 31,127.63
  4. Step 4: Simplify right side
    14,229x = 968,929,038.14
  5. Step 5: Solve for x
    x = 968,929,038.14/14,229
  6. Step 6: Final answer
    x = 68,095.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.