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Finding the Third Proportional to 19,360 and 42,409

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Solution

The third proportional to 19,360 and 42,409 is: 92,898.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,360 : 42,409 = 42,409 : x
  2. Step 2: Convert to fraction form
    19,360/42,409 = 42,409/x
  3. Step 3: Cross multiply
    19,360x = 42,409 × 42,409
  4. Step 4: Simplify right side
    19,360x = 1,798,523,281
  5. Step 5: Solve for x
    x = 1,798,523,281/19,360
  6. Step 6: Final answer
    x = 92,898.93

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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.