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Finding the Third Proportional to 30,547.13 and 46,407.94

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Solution

The third proportional to 30,547.13 and 46,407.94 is: 70,504.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,547.13 : 46,407.94 = 46,407.94 : x
  2. Step 2: Convert to fraction form
    30,547.13/46,407.94 = 46,407.94/x
  3. Step 3: Cross multiply
    30,547.13x = 46,407.94 × 46,407.94
  4. Step 4: Simplify right side
    30,547.13x = 2,153,696,663.00
  5. Step 5: Solve for x
    x = 2,153,696,663.00/30,547.13
  6. Step 6: Final answer
    x = 70,504.07

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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.