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Finding the Third Proportional to 21,530.50 and 31,658

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Solution

The third proportional to 21,530.50 and 31,658 is: 46,549.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,530.50 : 31,658 = 31,658 : x
  2. Step 2: Convert to fraction form
    21,530.50/31,658 = 31,658/x
  3. Step 3: Cross multiply
    21,530.50x = 31,658 × 31,658
  4. Step 4: Simplify right side
    21,530.50x = 1,002,228,964
  5. Step 5: Solve for x
    x = 1,002,228,964/21,530.50
  6. Step 6: Final answer
    x = 46,549.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.