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Finding the Third Proportional to 19,343 and 45,428

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Solution

The third proportional to 19,343 and 45,428 is: 106,689.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,343 : 45,428 = 45,428 : x
  2. Step 2: Convert to fraction form
    19,343/45,428 = 45,428/x
  3. Step 3: Cross multiply
    19,343x = 45,428 × 45,428
  4. Step 4: Simplify right side
    19,343x = 2,063,703,184
  5. Step 5: Solve for x
    x = 2,063,703,184/19,343
  6. Step 6: Final answer
    x = 106,689.92

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.