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Finding the Third Proportional to 18,506 and 28,076

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Solution

The third proportional to 18,506 and 28,076 is: 42,594.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,506 : 28,076 = 28,076 : x
  2. Step 2: Convert to fraction form
    18,506/28,076 = 28,076/x
  3. Step 3: Cross multiply
    18,506x = 28,076 × 28,076
  4. Step 4: Simplify right side
    18,506x = 788,261,776
  5. Step 5: Solve for x
    x = 788,261,776/18,506
  6. Step 6: Final answer
    x = 42,594.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.