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Finding the Third Proportional to 7,695.84 and 11,599.45

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Solution

The third proportional to 7,695.84 and 11,599.45 is: 17,483.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,695.84 : 11,599.45 = 11,599.45 : x
  2. Step 2: Convert to fraction form
    7,695.84/11,599.45 = 11,599.45/x
  3. Step 3: Cross multiply
    7,695.84x = 11,599.45 × 11,599.45
  4. Step 4: Simplify right side
    7,695.84x = 134,547,312.80
  5. Step 5: Solve for x
    x = 134,547,312.80/7,695.84
  6. Step 6: Final answer
    x = 17,483.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.