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Finding the Third Proportional to 46,388 and 62,146

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Solution

The third proportional to 46,388 and 62,146 is: 83,256.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,388 : 62,146 = 62,146 : x
  2. Step 2: Convert to fraction form
    46,388/62,146 = 62,146/x
  3. Step 3: Cross multiply
    46,388x = 62,146 × 62,146
  4. Step 4: Simplify right side
    46,388x = 3,862,125,316
  5. Step 5: Solve for x
    x = 3,862,125,316/46,388
  6. Step 6: Final answer
    x = 83,256.99

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.