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Finding the Third Proportional to 9,465.61 and 19,547.16

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Solution

The third proportional to 9,465.61 and 19,547.16 is: 40,366.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,465.61 : 19,547.16 = 19,547.16 : x
  2. Step 2: Convert to fraction form
    9,465.61/19,547.16 = 19,547.16/x
  3. Step 3: Cross multiply
    9,465.61x = 19,547.16 × 19,547.16
  4. Step 4: Simplify right side
    9,465.61x = 382,091,317.46
  5. Step 5: Solve for x
    x = 382,091,317.46/9,465.61
  6. Step 6: Final answer
    x = 40,366.27

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.