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Finding the Third Proportional to 9,070.88 and 14,430.38

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Solution

The third proportional to 9,070.88 and 14,430.38 is: 22,956.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,070.88 : 14,430.38 = 14,430.38 : x
  2. Step 2: Convert to fraction form
    9,070.88/14,430.38 = 14,430.38/x
  3. Step 3: Cross multiply
    9,070.88x = 14,430.38 × 14,430.38
  4. Step 4: Simplify right side
    9,070.88x = 208,235,722.64
  5. Step 5: Solve for x
    x = 208,235,722.64/9,070.88
  6. Step 6: Final answer
    x = 22,956.52

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.