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Finding the Third Proportional to 15,282 and 21,802.50

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Solution

The third proportional to 15,282 and 21,802.50 is: 31,105.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,282 : 21,802.50 = 21,802.50 : x
  2. Step 2: Convert to fraction form
    15,282/21,802.50 = 21,802.50/x
  3. Step 3: Cross multiply
    15,282x = 21,802.50 × 21,802.50
  4. Step 4: Simplify right side
    15,282x = 475,349,006.25
  5. Step 5: Solve for x
    x = 475,349,006.25/15,282
  6. Step 6: Final answer
    x = 31,105.16

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.