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Finding the Third Proportional to 21,316 and 46,862

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Solution

The third proportional to 21,316 and 46,862 is: 103,023.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,316 : 46,862 = 46,862 : x
  2. Step 2: Convert to fraction form
    21,316/46,862 = 46,862/x
  3. Step 3: Cross multiply
    21,316x = 46,862 × 46,862
  4. Step 4: Simplify right side
    21,316x = 2,196,047,044
  5. Step 5: Solve for x
    x = 2,196,047,044/21,316
  6. Step 6: Final answer
    x = 103,023.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.