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Finding the Third Proportional to 45,032 and 62,428

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Solution

The third proportional to 45,032 and 62,428 is: 86,544.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,032 : 62,428 = 62,428 : x
  2. Step 2: Convert to fraction form
    45,032/62,428 = 62,428/x
  3. Step 3: Cross multiply
    45,032x = 62,428 × 62,428
  4. Step 4: Simplify right side
    45,032x = 3,897,255,184
  5. Step 5: Solve for x
    x = 3,897,255,184/45,032
  6. Step 6: Final answer
    x = 86,544.13

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.