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Finding the Third Proportional to 14,825.06 and 23,088.19

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Solution

The third proportional to 14,825.06 and 23,088.19 is: 35,956.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,825.06 : 23,088.19 = 23,088.19 : x
  2. Step 2: Convert to fraction form
    14,825.06/23,088.19 = 23,088.19/x
  3. Step 3: Cross multiply
    14,825.06x = 23,088.19 × 23,088.19
  4. Step 4: Simplify right side
    14,825.06x = 533,064,402.04
  5. Step 5: Solve for x
    x = 533,064,402.04/14,825.06
  6. Step 6: Final answer
    x = 35,956.98

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.