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Finding the Third Proportional to 19,875 and 42,516

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Solution

The third proportional to 19,875 and 42,516 is: 90,948.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,875 : 42,516 = 42,516 : x
  2. Step 2: Convert to fraction form
    19,875/42,516 = 42,516/x
  3. Step 3: Cross multiply
    19,875x = 42,516 × 42,516
  4. Step 4: Simplify right side
    19,875x = 1,807,610,256
  5. Step 5: Solve for x
    x = 1,807,610,256/19,875
  6. Step 6: Final answer
    x = 90,948.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.