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Finding the Third Proportional to 28,402 and 62,514

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Solution

The third proportional to 28,402 and 62,514 is: 137,595.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,402 : 62,514 = 62,514 : x
  2. Step 2: Convert to fraction form
    28,402/62,514 = 62,514/x
  3. Step 3: Cross multiply
    28,402x = 62,514 × 62,514
  4. Step 4: Simplify right side
    28,402x = 3,908,000,196
  5. Step 5: Solve for x
    x = 3,908,000,196/28,402
  6. Step 6: Final answer
    x = 137,595.95

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.