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Finding the Third Proportional to 26,070 and 61,481

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Solution

The third proportional to 26,070 and 61,481 is: 144,990.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,070 : 61,481 = 61,481 : x
  2. Step 2: Convert to fraction form
    26,070/61,481 = 61,481/x
  3. Step 3: Cross multiply
    26,070x = 61,481 × 61,481
  4. Step 4: Simplify right side
    26,070x = 3,779,913,361
  5. Step 5: Solve for x
    x = 3,779,913,361/26,070
  6. Step 6: Final answer
    x = 144,990.92

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.