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Finding the Third Proportional to 14,370 and 28,335

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Solution

The third proportional to 14,370 and 28,335 is: 55,871.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,370 : 28,335 = 28,335 : x
  2. Step 2: Convert to fraction form
    14,370/28,335 = 28,335/x
  3. Step 3: Cross multiply
    14,370x = 28,335 × 28,335
  4. Step 4: Simplify right side
    14,370x = 802,872,225
  5. Step 5: Solve for x
    x = 802,872,225/14,370
  6. Step 6: Final answer
    x = 55,871.41

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.