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Finding the Third Proportional to 28,140 and 60,047

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Solution

The third proportional to 28,140 and 60,047 is: 128,132.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,140 : 60,047 = 60,047 : x
  2. Step 2: Convert to fraction form
    28,140/60,047 = 60,047/x
  3. Step 3: Cross multiply
    28,140x = 60,047 × 60,047
  4. Step 4: Simplify right side
    28,140x = 3,605,642,209
  5. Step 5: Solve for x
    x = 3,605,642,209/28,140
  6. Step 6: Final answer
    x = 128,132.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.