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Finding the Third Proportional to 28,547 and 59,083

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Solution

The third proportional to 28,547 and 59,083 is: 122,282.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,547 : 59,083 = 59,083 : x
  2. Step 2: Convert to fraction form
    28,547/59,083 = 59,083/x
  3. Step 3: Cross multiply
    28,547x = 59,083 × 59,083
  4. Step 4: Simplify right side
    28,547x = 3,490,800,889
  5. Step 5: Solve for x
    x = 3,490,800,889/28,547
  6. Step 6: Final answer
    x = 122,282.58

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.