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Finding the Third Proportional to 21,470 and 45,772

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Solution

The third proportional to 21,470 and 45,772 is: 97,581.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,470 : 45,772 = 45,772 : x
  2. Step 2: Convert to fraction form
    21,470/45,772 = 45,772/x
  3. Step 3: Cross multiply
    21,470x = 45,772 × 45,772
  4. Step 4: Simplify right side
    21,470x = 2,095,075,984
  5. Step 5: Solve for x
    x = 2,095,075,984/21,470
  6. Step 6: Final answer
    x = 97,581.55

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.