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Finding the Third Proportional to 15,314.06 and 23,657.06

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Solution

The third proportional to 15,314.06 and 23,657.06 is: 36,545.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,314.06 : 23,657.06 = 23,657.06 : x
  2. Step 2: Convert to fraction form
    15,314.06/23,657.06 = 23,657.06/x
  3. Step 3: Cross multiply
    15,314.06x = 23,657.06 × 23,657.06
  4. Step 4: Simplify right side
    15,314.06x = 559,656,606.13
  5. Step 5: Solve for x
    x = 559,656,606.13/15,314.06
  6. Step 6: Final answer
    x = 36,545.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.