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Finding the Third Proportional to 28,730 and 62,926

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Solution

The third proportional to 28,730 and 62,926 is: 137,823.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,730 : 62,926 = 62,926 : x
  2. Step 2: Convert to fraction form
    28,730/62,926 = 62,926/x
  3. Step 3: Cross multiply
    28,730x = 62,926 × 62,926
  4. Step 4: Simplify right side
    28,730x = 3,959,681,476
  5. Step 5: Solve for x
    x = 3,959,681,476/28,730
  6. Step 6: Final answer
    x = 137,823.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.