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Finding the Third Proportional to 14,890 and 32,570

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Solution

The third proportional to 14,890 and 32,570 is: 71,242.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,890 : 32,570 = 32,570 : x
  2. Step 2: Convert to fraction form
    14,890/32,570 = 32,570/x
  3. Step 3: Cross multiply
    14,890x = 32,570 × 32,570
  4. Step 4: Simplify right side
    14,890x = 1,060,804,900
  5. Step 5: Solve for x
    x = 1,060,804,900/14,890
  6. Step 6: Final answer
    x = 71,242.77

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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.