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Finding the Third Proportional to 15,781.50 and 23,441.06

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Solution

The third proportional to 15,781.50 and 23,441.06 is: 34,818.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,781.50 : 23,441.06 = 23,441.06 : x
  2. Step 2: Convert to fraction form
    15,781.50/23,441.06 = 23,441.06/x
  3. Step 3: Cross multiply
    15,781.50x = 23,441.06 × 23,441.06
  4. Step 4: Simplify right side
    15,781.50x = 549,483,411.13
  5. Step 5: Solve for x
    x = 549,483,411.13/15,781.50
  6. Step 6: Final answer
    x = 34,818.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.