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Finding the Third Proportional to 8,565.75 and 13,030.88

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Solution

The third proportional to 8,565.75 and 13,030.88 is: 19,823.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,565.75 : 13,030.88 = 13,030.88 : x
  2. Step 2: Convert to fraction form
    8,565.75/13,030.88 = 13,030.88/x
  3. Step 3: Cross multiply
    8,565.75x = 13,030.88 × 13,030.88
  4. Step 4: Simplify right side
    8,565.75x = 169,803,703.27
  5. Step 5: Solve for x
    x = 169,803,703.27/8,565.75
  6. Step 6: Final answer
    x = 19,823.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.