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Finding the Third Proportional to 21,580.88 and 46,159.31

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Solution

The third proportional to 21,580.88 and 46,159.31 is: 98,730.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,580.88 : 46,159.31 = 46,159.31 : x
  2. Step 2: Convert to fraction form
    21,580.88/46,159.31 = 46,159.31/x
  3. Step 3: Cross multiply
    21,580.88x = 46,159.31 × 46,159.31
  4. Step 4: Simplify right side
    21,580.88x = 2,130,682,130.47
  5. Step 5: Solve for x
    x = 2,130,682,130.47/21,580.88
  6. Step 6: Final answer
    x = 98,730.11

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