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Finding the Third Proportional to 7,547.63 and 8,641.13

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Solution

The third proportional to 7,547.63 and 8,641.13 is: 9,893.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547.63 : 8,641.13 = 8,641.13 : x
  2. Step 2: Convert to fraction form
    7,547.63/8,641.13 = 8,641.13/x
  3. Step 3: Cross multiply
    7,547.63x = 8,641.13 × 8,641.13
  4. Step 4: Simplify right side
    7,547.63x = 74,669,041.27
  5. Step 5: Solve for x
    x = 74,669,041.27/7,547.63
  6. Step 6: Final answer
    x = 9,893.05

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.