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Finding the Third Proportional to 28,020 and 59,784

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Solution

The third proportional to 28,020 and 59,784 is: 127,556.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,020 : 59,784 = 59,784 : x
  2. Step 2: Convert to fraction form
    28,020/59,784 = 59,784/x
  3. Step 3: Cross multiply
    28,020x = 59,784 × 59,784
  4. Step 4: Simplify right side
    28,020x = 3,574,126,656
  5. Step 5: Solve for x
    x = 3,574,126,656/28,020
  6. Step 6: Final answer
    x = 127,556.27

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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.